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Finding the Third Proportional to 267,641.63 and 394,068.75

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Solution

The third proportional to 267,641.63 and 394,068.75 is: 580,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,641.63 : 394,068.75 = 394,068.75 : x
  2. Step 2: Convert to fraction form
    267,641.63/394,068.75 = 394,068.75/x
  3. Step 3: Cross multiply
    267,641.63x = 394,068.75 × 394,068.75
  4. Step 4: Simplify right side
    267,641.63x = 155,290,179,726.56
  5. Step 5: Solve for x
    x = 155,290,179,726.56/267,641.63
  6. Step 6: Final answer
    x = 580,216.85

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