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Finding the Third Proportional to 267,643.50 and 394,072.50

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Solution

The third proportional to 267,643.50 and 394,072.50 is: 580,223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,643.50 : 394,072.50 = 394,072.50 : x
  2. Step 2: Convert to fraction form
    267,643.50/394,072.50 = 394,072.50/x
  3. Step 3: Cross multiply
    267,643.50x = 394,072.50 × 394,072.50
  4. Step 4: Simplify right side
    267,643.50x = 155,293,135,256.25
  5. Step 5: Solve for x
    x = 155,293,135,256.25/267,643.50
  6. Step 6: Final answer
    x = 580,223.82

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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.