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Finding the Third Proportional to 267,634.13 and 394,054.88

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Solution

The third proportional to 267,634.13 and 394,054.88 is: 580,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,634.13 : 394,054.88 = 394,054.88 : x
  2. Step 2: Convert to fraction form
    267,634.13/394,054.88 = 394,054.88/x
  3. Step 3: Cross multiply
    267,634.13x = 394,054.88 × 394,054.88
  4. Step 4: Simplify right side
    267,634.13x = 155,279,244,511.27
  5. Step 5: Solve for x
    x = 155,279,244,511.27/267,634.13
  6. Step 6: Final answer
    x = 580,192.25

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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.