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Finding the Third Proportional to 329,137,472 and 482,794,909

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Solution

The third proportional to 329,137,472 and 482,794,909 is: 708,187,137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,137,472 : 482,794,909 = 482,794,909 : x
  2. Step 2: Convert to fraction form
    329,137,472/482,794,909 = 482,794,909/x
  3. Step 3: Cross multiply
    329,137,472x = 482,794,909 × 482,794,909
  4. Step 4: Simplify right side
    329,137,472x = 233,090,924,156,318,272
  5. Step 5: Solve for x
    x = 233,090,924,156,318,272/329,137,472
  6. Step 6: Final answer
    x = 708,187,137.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.