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Finding the Third Proportional to 311,906,404 and 484,917,882

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Solution

The third proportional to 311,906,404 and 484,917,882 is: 753,897,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,906,404 : 484,917,882 = 484,917,882 : x
  2. Step 2: Convert to fraction form
    311,906,404/484,917,882 = 484,917,882/x
  3. Step 3: Cross multiply
    311,906,404x = 484,917,882 × 484,917,882
  4. Step 4: Simplify right side
    311,906,404x = 235,145,352,283,365,920
  5. Step 5: Solve for x
    x = 235,145,352,283,365,920/311,906,404
  6. Step 6: Final answer
    x = 753,897,160.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.