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Finding the Third Proportional to 465,915,718.50 and 741,722,331

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Solution

The third proportional to 465,915,718.50 and 741,722,331 is: 1,180,797,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,915,718.50 : 741,722,331 = 741,722,331 : x
  2. Step 2: Convert to fraction form
    465,915,718.50/741,722,331 = 741,722,331/x
  3. Step 3: Cross multiply
    465,915,718.50x = 741,722,331 × 741,722,331
  4. Step 4: Simplify right side
    465,915,718.50x = 550,152,016,304,073,536
  5. Step 5: Solve for x
    x = 550,152,016,304,073,536/465,915,718.50
  6. Step 6: Final answer
    x = 1,180,797,286.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.