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Finding the Third Proportional to 240,761 and 381,567

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Solution

The third proportional to 240,761 and 381,567 is: 604,721.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,761 : 381,567 = 381,567 : x
  2. Step 2: Convert to fraction form
    240,761/381,567 = 381,567/x
  3. Step 3: Cross multiply
    240,761x = 381,567 × 381,567
  4. Step 4: Simplify right side
    240,761x = 145,593,375,489
  5. Step 5: Solve for x
    x = 145,593,375,489/240,761
  6. Step 6: Final answer
    x = 604,721.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.