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Finding the Third Proportional to 242,568 and 527,540

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Solution

The third proportional to 242,568 and 527,540 is: 1,147,300.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,568 : 527,540 = 527,540 : x
  2. Step 2: Convert to fraction form
    242,568/527,540 = 527,540/x
  3. Step 3: Cross multiply
    242,568x = 527,540 × 527,540
  4. Step 4: Simplify right side
    242,568x = 278,298,451,600
  5. Step 5: Solve for x
    x = 278,298,451,600/242,568
  6. Step 6: Final answer
    x = 1,147,300.76

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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.