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Finding the Third Proportional to 631,359 and 962,802

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Solution

The third proportional to 631,359 and 962,802 is: 1,468,241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,359 : 962,802 = 962,802 : x
  2. Step 2: Convert to fraction form
    631,359/962,802 = 962,802/x
  3. Step 3: Cross multiply
    631,359x = 962,802 × 962,802
  4. Step 4: Simplify right side
    631,359x = 926,987,691,204
  5. Step 5: Solve for x
    x = 926,987,691,204/631,359
  6. Step 6: Final answer
    x = 1,468,241.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.