Finding the Third Proportional to 510 and 564
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Solution
The third proportional to 510 and 564 is: 623.72
Step by Step Solution
- Step 1: Write the proportion equation
510 : 564 = 564 : x - Step 2: Convert to fraction form
510/564 = 564/x - Step 3: Cross multiply
510x = 564 × 564 - Step 4: Simplify right side
510x = 318,096 - Step 5: Solve for x
x = 318,096/510 - Step 6: Final answer
x = 623.72
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Why These Related Problems?
These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.