progressive and socialist and similar to eachother, they're both in favor of rights for marginalized classes, but I think socialists are more involved in economics
socialist refers to a specific set of economic and political beliefs progressive is a general catch-all for people interested in making real social change but otherwise to me is poorly defined and kind of buzzwordy
the way I've always contrasted the two is that communism is about completely destroying and rebuilding the frames of society i.e. capitalism bad, workers own the rights to what they make instead of factory owners, etc. etc. that kind of stuff
under socialism you can still like, own things. but there would be better social programs like has been said, rich would be taxed fairly, workers own means etc
progressive is a general catch-all for people interested in making real social change but otherwise to me is poorly defined and kind of buzzwordy