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Finding the Third Proportional to 467,404 and 763,147

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Solution

The third proportional to 467,404 and 763,147 is: 1,246,017.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,404 : 763,147 = 763,147 : x
  2. Step 2: Convert to fraction form
    467,404/763,147 = 763,147/x
  3. Step 3: Cross multiply
    467,404x = 763,147 × 763,147
  4. Step 4: Simplify right side
    467,404x = 582,393,343,609
  5. Step 5: Solve for x
    x = 582,393,343,609/467,404
  6. Step 6: Final answer
    x = 1,246,017.03

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.