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Finding the Third Proportional to 267,617 and 394,033

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Solution

The third proportional to 267,617 and 394,033 is: 580,164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,617 : 394,033 = 394,033 : x
  2. Step 2: Convert to fraction form
    267,617/394,033 = 394,033/x
  3. Step 3: Cross multiply
    267,617x = 394,033 × 394,033
  4. Step 4: Simplify right side
    267,617x = 155,262,005,089
  5. Step 5: Solve for x
    x = 155,262,005,089/267,617
  6. Step 6: Final answer
    x = 580,164.96

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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.