Finding the Third Proportional to 523,566 and 789,713
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Solution
The third proportional to 523,566 and 789,713 is: 1,191,151.87
Step by Step Solution
- Step 1: Write the proportion equation
523,566 : 789,713 = 789,713 : x - Step 2: Convert to fraction form
523,566/789,713 = 789,713/x - Step 3: Cross multiply
523,566x = 789,713 × 789,713 - Step 4: Simplify right side
523,566x = 623,646,622,369 - Step 5: Solve for x
x = 623,646,622,369/523,566 - Step 6: Final answer
x = 1,191,151.87
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.