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Finding the Third Proportional to 242,566 and 527,536

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Solution

The third proportional to 242,566 and 527,536 is: 1,147,292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,566 : 527,536 = 527,536 : x
  2. Step 2: Convert to fraction form
    242,566/527,536 = 527,536/x
  3. Step 3: Cross multiply
    242,566x = 527,536 × 527,536
  4. Step 4: Simplify right side
    242,566x = 278,294,231,296
  5. Step 5: Solve for x
    x = 278,294,231,296/242,566
  6. Step 6: Final answer
    x = 1,147,292.82

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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.