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Finding the Third Proportional to 239,524 and 333,032

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Solution

The third proportional to 239,524 and 333,032 is: 463,044.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,524 : 333,032 = 333,032 : x
  2. Step 2: Convert to fraction form
    239,524/333,032 = 333,032/x
  3. Step 3: Cross multiply
    239,524x = 333,032 × 333,032
  4. Step 4: Simplify right side
    239,524x = 110,910,313,024
  5. Step 5: Solve for x
    x = 110,910,313,024/239,524
  6. Step 6: Final answer
    x = 463,044.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.