Finding the Third Proportional to 577 and 773.50
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Solution
The third proportional to 577 and 773.50 is: 1,036.92
Step by Step Solution
- Step 1: Write the proportion equation
577 : 773.50 = 773.50 : x - Step 2: Convert to fraction form
577/773.50 = 773.50/x - Step 3: Cross multiply
577x = 773.50 × 773.50 - Step 4: Simplify right side
577x = 598,302.25 - Step 5: Solve for x
x = 598,302.25/577 - Step 6: Final answer
x = 1,036.92
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.