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Finding the Third Proportional to 267,669 and 394,105

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Solution

The third proportional to 267,669 and 394,105 is: 580,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,669 : 394,105 = 394,105 : x
  2. Step 2: Convert to fraction form
    267,669/394,105 = 394,105/x
  3. Step 3: Cross multiply
    267,669x = 394,105 × 394,105
  4. Step 4: Simplify right side
    267,669x = 155,318,751,025
  5. Step 5: Solve for x
    x = 155,318,751,025/267,669
  6. Step 6: Final answer
    x = 580,264.25

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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.