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Finding the Third Proportional to 240,806 and 527,287

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Solution

The third proportional to 240,806 and 527,287 is: 1,154,587.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,806 : 527,287 = 527,287 : x
  2. Step 2: Convert to fraction form
    240,806/527,287 = 527,287/x
  3. Step 3: Cross multiply
    240,806x = 527,287 × 527,287
  4. Step 4: Simplify right side
    240,806x = 278,031,580,369
  5. Step 5: Solve for x
    x = 278,031,580,369/240,806
  6. Step 6: Final answer
    x = 1,154,587.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.