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Finding the Third Proportional to 239,536 and 521,596

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Solution

The third proportional to 239,536 and 521,596 is: 1,135,789.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,536 : 521,596 = 521,596 : x
  2. Step 2: Convert to fraction form
    239,536/521,596 = 521,596/x
  3. Step 3: Cross multiply
    239,536x = 521,596 × 521,596
  4. Step 4: Simplify right side
    239,536x = 272,062,387,216
  5. Step 5: Solve for x
    x = 272,062,387,216/239,536
  6. Step 6: Final answer
    x = 1,135,789.14

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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.