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Finding the Third Proportional to 242,523 and 527,016

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Solution

The third proportional to 242,523 and 527,016 is: 1,145,235.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,523 : 527,016 = 527,016 : x
  2. Step 2: Convert to fraction form
    242,523/527,016 = 527,016/x
  3. Step 3: Cross multiply
    242,523x = 527,016 × 527,016
  4. Step 4: Simplify right side
    242,523x = 277,745,864,256
  5. Step 5: Solve for x
    x = 277,745,864,256/242,523
  6. Step 6: Final answer
    x = 1,145,235.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.