1. in a way that matches, agrees with, or is proportional to something else
2. in a manner that is related or connected to something previously mentioned

Examples

• As prices increased, demand decreased correspondingly.
• The company expanded its workforce correspondingly with its growth.
• If you study harder, your grades should improve correspondingly.
• The budget was reduced, and staffing levels were cut correspondingly.
• The two teams' performance improved correspondingly throughout the season.
• When interest rates rise, bond prices fall correspondingly.