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Finding the Third Proportional to 267,614 and 394,028.50

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Solution

The third proportional to 267,614 and 394,028.50 is: 580,158.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,614 : 394,028.50 = 394,028.50 : x
  2. Step 2: Convert to fraction form
    267,614/394,028.50 = 394,028.50/x
  3. Step 3: Cross multiply
    267,614x = 394,028.50 × 394,028.50
  4. Step 4: Simplify right side
    267,614x = 155,258,458,812.25
  5. Step 5: Solve for x
    x = 155,258,458,812.25/267,614
  6. Step 6: Final answer
    x = 580,158.21

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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.