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Finding the Third Proportional to 467,420 and 763,170

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Solution

The third proportional to 467,420 and 763,170 is: 1,246,049.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,420 : 763,170 = 763,170 : x
  2. Step 2: Convert to fraction form
    467,420/763,170 = 763,170/x
  3. Step 3: Cross multiply
    467,420x = 763,170 × 763,170
  4. Step 4: Simplify right side
    467,420x = 582,428,448,900
  5. Step 5: Solve for x
    x = 582,428,448,900/467,420
  6. Step 6: Final answer
    x = 1,246,049.48

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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.