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Finding the Third Proportional to 238,704 and 527,082

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Solution

The third proportional to 238,704 and 527,082 is: 1,163,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,704 : 527,082 = 527,082 : x
  2. Step 2: Convert to fraction form
    238,704/527,082 = 527,082/x
  3. Step 3: Cross multiply
    238,704x = 527,082 × 527,082
  4. Step 4: Simplify right side
    238,704x = 277,815,434,724
  5. Step 5: Solve for x
    x = 277,815,434,724/238,704
  6. Step 6: Final answer
    x = 1,163,849.10

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.