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Finding the Third Proportional to 655,204 and 987,424

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Solution

The third proportional to 655,204 and 987,424 is: 1,488,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,204 : 987,424 = 987,424 : x
  2. Step 2: Convert to fraction form
    655,204/987,424 = 987,424/x
  3. Step 3: Cross multiply
    655,204x = 987,424 × 987,424
  4. Step 4: Simplify right side
    655,204x = 975,006,155,776
  5. Step 5: Solve for x
    x = 975,006,155,776/655,204
  6. Step 6: Final answer
    x = 1,488,095.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.