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Finding the Third Proportional to 361,749 and 773,327

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Solution

The third proportional to 361,749 and 773,327 is: 1,653,175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,749 : 773,327 = 773,327 : x
  2. Step 2: Convert to fraction form
    361,749/773,327 = 773,327/x
  3. Step 3: Cross multiply
    361,749x = 773,327 × 773,327
  4. Step 4: Simplify right side
    361,749x = 598,034,648,929
  5. Step 5: Solve for x
    x = 598,034,648,929/361,749
  6. Step 6: Final answer
    x = 1,653,175.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.