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Finding the Third Proportional to 658,753,143.75 and 878,239,523.25

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Solution

The third proportional to 658,753,143.75 and 878,239,523.25 is: 1,170,855,376.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,753,143.75 : 878,239,523.25 = 878,239,523.25 : x
  2. Step 2: Convert to fraction form
    658,753,143.75/878,239,523.25 = 878,239,523.25/x
  3. Step 3: Cross multiply
    658,753,143.75x = 878,239,523.25 × 878,239,523.25
  4. Step 4: Simplify right side
    658,753,143.75x = 771,304,660,198,387,328
  5. Step 5: Solve for x
    x = 771,304,660,198,387,328/658,753,143.75
  6. Step 6: Final answer
    x = 1,170,855,376.58

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.