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Finding the Third Proportional to 274,033,287 and 395,930,764.13

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Solution

The third proportional to 274,033,287 and 395,930,764.13 is: 572,051,562.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,033,287 : 395,930,764.13 = 395,930,764.13 : x
  2. Step 2: Convert to fraction form
    274,033,287/395,930,764.13 = 395,930,764.13/x
  3. Step 3: Cross multiply
    274,033,287x = 395,930,764.13 × 395,930,764.13
  4. Step 4: Simplify right side
    274,033,287x = 156,761,169,980,606,400
  5. Step 5: Solve for x
    x = 156,761,169,980,606,400/274,033,287
  6. Step 6: Final answer
    x = 572,051,562.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.