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Finding the Third Proportional to 242,564 and 527,532

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Solution

The third proportional to 242,564 and 527,532 is: 1,147,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,564 : 527,532 = 527,532 : x
  2. Step 2: Convert to fraction form
    242,564/527,532 = 527,532/x
  3. Step 3: Cross multiply
    242,564x = 527,532 × 527,532
  4. Step 4: Simplify right side
    242,564x = 278,290,011,024
  5. Step 5: Solve for x
    x = 278,290,011,024/242,564
  6. Step 6: Final answer
    x = 1,147,284.89

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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.