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Finding the Third Proportional to 252,638 and 371,569

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Solution

The third proportional to 252,638 and 371,569 is: 546,487.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,638 : 371,569 = 371,569 : x
  2. Step 2: Convert to fraction form
    252,638/371,569 = 371,569/x
  3. Step 3: Cross multiply
    252,638x = 371,569 × 371,569
  4. Step 4: Simplify right side
    252,638x = 138,063,521,761
  5. Step 5: Solve for x
    x = 138,063,521,761/252,638
  6. Step 6: Final answer
    x = 546,487.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.