D10 APCH CTLR TURNED A DSNDING MD80 AND QUICKLY COORDINATED WITH A DEP CTLR TO TURN A CLBING BE40 TO PREVENT A LOSS OF SEPARATION.

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MD80 HDG 310 DEGS ON ARR SLOW TO DSND. STILL AT 17000 FT 10 MI FROM FIX IT HAS TO CROSS AT 11000 FT; AND GOING FASTER THAN SPD CALLED FOR ON THE STAR. ACFT WAS A DFW ARR. BE40; PROBABLY A DEP FROM ADS; HDG APPROX 200 DEGS FOR DARTZ INTXN; SLOW CLBING OUT OF 11000 FT; APPROX 10 MI N OF ACR X. I WAS WORKING FE2; ASSIGNING RWYS TO ARRS FROM THE SE. I INSTRUCTED ACR X TO EXPEDITE ITS DSCNT BUT NOW ASSIGNED ALT OF 12000 FT SINCE IT WAS OVERTAKING THE ACFT PRECEDING IN ON THE ARR WHO WAS LEVEL AT 11000 FT. I THEN NOTICED THE BE40 START TO CLB OUT OF 10300 FT AND INSTRUCTED ACR X TO TURN TO A HDG OF 360 DEGS; DUE N; SO THAT THE BE40 WOULD PASS OFF ITS L AND STARTED TO CALL OUT THE TFC. I CALLED THE DR2 POS ON THE LAND LINE AND TOLD HIM WHAT I WAS DOING. BUT DR1 WAS ACTUALLY WORKING THE ACFT AND DR2 HAD TAKEN A POINTOUT. DR2 IMMEDIATELY INFORMED DR1 OF THE POTENTIAL CONFLICT. DR1 TURNED THE BE40 WBOUND HDG 270 DEGS. ACR X INFORMED ME IT WAS REACTING TO AN RA AND LEVELING OFF; STOPPED ITS DSCNT. THE BE40 ALSO REACTED TO AN RA AND STOPPED ITS CLB. THE ACFT MAINTAINED OVER A THOUSAND FT SEPARATION; BUT I BELIEVE THE ALTS WERE APPROX 13400 FT (BE40) AND 14500 FT (ACR Y) 'NOT EXACTLY IFR ALTS.' THOUGH ACR X WAS ALWAYS S; THEN SE; THEN E OF THE BE40 AND THE TARGETS NEVER MERGED; THE CLOSEST DISTANCE (HORIZ WAS PROBABLY LESS THAN A MI). MY VECTOR OF ACR X KEPT THE TWO FROM MERGING; BUT ALT WAS THE BETTER FORM OF SEPARATION AND 'WE CAN THANK TCASII FOR THAT!' IT WORKED LIKE IT'S SUPPOSED TO.