Finding the Third Proportional to 577 and 634
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Solution
The third proportional to 577 and 634 is: 696.63
Step by Step Solution
- Step 1: Write the proportion equation
577 : 634 = 634 : x - Step 2: Convert to fraction form
577/634 = 634/x - Step 3: Cross multiply
577x = 634 × 634 - Step 4: Simplify right side
577x = 401,956 - Step 5: Solve for x
x = 401,956/577 - Step 6: Final answer
x = 696.63
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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.