This is the 7409th most frequent Russian word.
государственный
State; governmental; public.
In this sentence, 'государственный' specifies that the museum is operated or funded by the state government.
Сегодня я посетил государственный музей.
Today, I visited a state museum.
Here, 'государственное' identifies that the administration is related to governmental or public authority.
Государственное управление играет важную роль в экономике.
State administration plays an important role in the economy.
In this case, 'государственный' describes the university as being operated or funded by the state.