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Finding the Third Proportional to 274,033,289 and 395,930,767

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Solution

The third proportional to 274,033,289 and 395,930,767 is: 572,051,566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,033,289 : 395,930,767 = 395,930,767 : x
  2. Step 2: Convert to fraction form
    274,033,289/395,930,767 = 395,930,767/x
  3. Step 3: Cross multiply
    274,033,289x = 395,930,767 × 395,930,767
  4. Step 4: Simplify right side
    274,033,289x = 156,761,172,257,208,288
  5. Step 5: Solve for x
    x = 156,761,172,257,208,288/274,033,289
  6. Step 6: Final answer
    x = 572,051,566.54

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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.