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Finding the Third Proportional to 239,204 and 503,192

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Solution

The third proportional to 239,204 and 503,192 is: 1,058,519.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,204 : 503,192 = 503,192 : x
  2. Step 2: Convert to fraction form
    239,204/503,192 = 503,192/x
  3. Step 3: Cross multiply
    239,204x = 503,192 × 503,192
  4. Step 4: Simplify right side
    239,204x = 253,202,188,864
  5. Step 5: Solve for x
    x = 253,202,188,864/239,204
  6. Step 6: Final answer
    x = 1,058,519.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.