587421102 is the cable I bought but it's different. There's a pic at
https://i.postimg.cc/44DBgzYx/two-cables.jpg
The one on the bottom (with the cable intact) is the new one and you'll see that the screw part is wider. It's wide-enough that it doesn't sit nicely in the handle housing like the old one. The real problem I have with it though is that after connecting to the transmission and installing into the handle housing there's still a couple of inches of slack meaning that squeezing the handles doesn't have enough pull to engage the wheels/blade.
I'm a novice, so I may be way off here but I thought the only adjustment I had was the nut/bolt part and it's just not enough.
I'm tending to think Husq is going to make me buy the whole housing and then crossing my fingers that it's the right length.
Unfortunately, the old cable snapped so I don't know for sure how long it should be. Do they come in standard lengths because it probably snapped close to where it was connected. The other end has a ball on it that connects to a bit of metal I attached to the transmission.