Finding the Third Proportional to 512 and 628
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Solution
The third proportional to 512 and 628 is: 770.28
Step by Step Solution
- Step 1: Write the proportion equation
512 : 628 = 628 : x - Step 2: Convert to fraction form
512/628 = 628/x - Step 3: Cross multiply
512x = 628 × 628 - Step 4: Simplify right side
512x = 394,384 - Step 5: Solve for x
x = 394,384/512 - Step 6: Final answer
x = 770.28
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These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.