процветать bedeutet auf Englisch

flourish [flourished, flourishing, flourishes]▼(to thrive or grow well)
verb
[UK: ˈflʌ.rɪʃ] [US: ˈflɜː.rɪʃ]

boom [boomed, booming, booms]▼(to be prosperous)
verb
[UK: buːm] [US: ˈbuːm]

prosper [prospered, prospering, prospers]▼(to be successful)
verb
[UK: ˈprɒ.spə(r)] [US: ˈprɑː.spər]

thrive [throve, thriven, thriving, thrives]▼(to prosper by industry)
verb
[UK: θraɪv] [US: ˈθraɪv]