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Finding the Third Proportional to 361,748 and 773,325

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Solution

The third proportional to 361,748 and 773,325 is: 1,653,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,748 : 773,325 = 773,325 : x
  2. Step 2: Convert to fraction form
    361,748/773,325 = 773,325/x
  3. Step 3: Cross multiply
    361,748x = 773,325 × 773,325
  4. Step 4: Simplify right side
    361,748x = 598,031,555,625
  5. Step 5: Solve for x
    x = 598,031,555,625/361,748
  6. Step 6: Final answer
    x = 1,653,171.70

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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.