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Finding the Third Proportional to 387,734 and 523,737

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Solution

The third proportional to 387,734 and 523,737 is: 707,444.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,734 : 523,737 = 523,737 : x
  2. Step 2: Convert to fraction form
    387,734/523,737 = 523,737/x
  3. Step 3: Cross multiply
    387,734x = 523,737 × 523,737
  4. Step 4: Simplify right side
    387,734x = 274,300,445,169
  5. Step 5: Solve for x
    x = 274,300,445,169/387,734
  6. Step 6: Final answer
    x = 707,444.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.