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Finding the Third Proportional to 305,432,328 and 647,513,764

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Solution

The third proportional to 305,432,328 and 647,513,764 is: 1,372,723,304.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,432,328 : 647,513,764 = 647,513,764 : x
  2. Step 2: Convert to fraction form
    305,432,328/647,513,764 = 647,513,764/x
  3. Step 3: Cross multiply
    305,432,328x = 647,513,764 × 647,513,764
  4. Step 4: Simplify right side
    305,432,328x = 419,274,074,569,447,680
  5. Step 5: Solve for x
    x = 419,274,074,569,447,680/305,432,328
  6. Step 6: Final answer
    x = 1,372,723,304.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.