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Finding the Third Proportional to 393,511,836 and 588,098,898

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Solution

The third proportional to 393,511,836 and 588,098,898 is: 878,907,016.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,511,836 : 588,098,898 = 588,098,898 : x
  2. Step 2: Convert to fraction form
    393,511,836/588,098,898 = 588,098,898/x
  3. Step 3: Cross multiply
    393,511,836x = 588,098,898 × 588,098,898
  4. Step 4: Simplify right side
    393,511,836x = 345,860,313,828,814,400
  5. Step 5: Solve for x
    x = 345,860,313,828,814,400/393,511,836
  6. Step 6: Final answer
    x = 878,907,016.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.