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Finding the Third Proportional to 498,366,069 and 773,669,214

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Solution

The third proportional to 498,366,069 and 773,669,214 is: 1,201,052,980.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,366,069 : 773,669,214 = 773,669,214 : x
  2. Step 2: Convert to fraction form
    498,366,069/773,669,214 = 773,669,214/x
  3. Step 3: Cross multiply
    498,366,069x = 773,669,214 × 773,669,214
  4. Step 4: Simplify right side
    498,366,069x = 598,564,052,691,377,792
  5. Step 5: Solve for x
    x = 598,564,052,691,377,792/498,366,069
  6. Step 6: Final answer
    x = 1,201,052,980.78

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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.