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Finding the Third Proportional to 239,566 and 527,741

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Solution

The third proportional to 239,566 and 527,741 is: 1,162,562.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,566 : 527,741 = 527,741 : x
  2. Step 2: Convert to fraction form
    239,566/527,741 = 527,741/x
  3. Step 3: Cross multiply
    239,566x = 527,741 × 527,741
  4. Step 4: Simplify right side
    239,566x = 278,510,563,081
  5. Step 5: Solve for x
    x = 278,510,563,081/239,566
  6. Step 6: Final answer
    x = 1,162,562.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.