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Finding the Third Proportional to 272,239,488 and 408,558,384

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Solution

The third proportional to 272,239,488 and 408,558,384 is: 613,136,449.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,239,488 : 408,558,384 = 408,558,384 : x
  2. Step 2: Convert to fraction form
    272,239,488/408,558,384 = 408,558,384/x
  3. Step 3: Cross multiply
    272,239,488x = 408,558,384 × 408,558,384
  4. Step 4: Simplify right side
    272,239,488x = 166,919,953,136,691,456
  5. Step 5: Solve for x
    x = 166,919,953,136,691,456/272,239,488
  6. Step 6: Final answer
    x = 613,136,449.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.