340 -727 -3000 stall- Vibration under load - Trying to find source

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So you're telling me that an improperly balanced converter would not have an effect by changing the converter out? Where do you come up with this stuff?
One of the reasons for changing the converter was that he did not like the RPM that it engaged at.
I think he has a cast crank balance job with a neutral balancer or something strange like that.
My two cents: I think it all goes back to the rebuilder. I would first change the balancer, just in case it did slip. If not, then I would drop the oil pan and windage tray and check the crank, either forged or cast, then, with a flash light if possible check the connecting rods numbers if matching. Are all the bolts on the balancer the same size or missing one or two? Is a incorrect balancer pulley being used and not centered. Not sure of the reason for the "DOT" on the stock flexplate, but it should be opposite of the plug on the converter, is my understanding.