The word "homestretch" refers to the final segment or part of a journey, race, or project. It is the last leg of a task or activity before completion. Full definition
Jordan is on the verge of opening the Synchrotron - light for Experimental Science and Applications in the Middle East as workers enter homestretch of synchrotron's construction. (sciencemag.org)
Toward the end of that long Churchill Downs homestretch, to the winner's circle inside that old oval, where Arazi will return once again to dare the fates. (si.com)