Quoting: ilteris
the connection between the magyars and the finns is taht they both came from the central asia. their culture is the same and the languages that they speak are very similar.
Related yes by language (very distant cousins really I donīt understand word of Hungarian ) but culture ? Hungarian culture is quite far away Finnish, Hungarians has been influenced by neighboring Slavs, Romanians and Turks. While Finns have been influenced by Russians and Swedes. We also donīt have a common mytholgy.
About Polish-Hungarian friendship: maybe it was Stefan Batory, Jagiellos on both thrones and Jozef Bem a Polish general and one of the heroes of 1848 Hungarian rebellion, that sparked frienship despite linguistic differences. :)