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Finding the Third Proportional to 267,714 and 394,166

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Solution

The third proportional to 267,714 and 394,166 is: 580,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,714 : 394,166 = 394,166 : x
  2. Step 2: Convert to fraction form
    267,714/394,166 = 394,166/x
  3. Step 3: Cross multiply
    267,714x = 394,166 × 394,166
  4. Step 4: Simplify right side
    267,714x = 155,366,835,556
  5. Step 5: Solve for x
    x = 155,366,835,556/267,714
  6. Step 6: Final answer
    x = 580,346.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.