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Finding the Third Proportional to 239,704 and 522,304

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Solution

The third proportional to 239,704 and 522,304 is: 1,138,076.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,704 : 522,304 = 522,304 : x
  2. Step 2: Convert to fraction form
    239,704/522,304 = 522,304/x
  3. Step 3: Cross multiply
    239,704x = 522,304 × 522,304
  4. Step 4: Simplify right side
    239,704x = 272,801,468,416
  5. Step 5: Solve for x
    x = 272,801,468,416/239,704
  6. Step 6: Final answer
    x = 1,138,076.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.