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Finding the Third Proportional to 253,491.61 and 394,787.04

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Solution

The third proportional to 253,491.61 and 394,787.04 is: 614,840.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,491.61 : 394,787.04 = 394,787.04 : x
  2. Step 2: Convert to fraction form
    253,491.61/394,787.04 = 394,787.04/x
  3. Step 3: Cross multiply
    253,491.61x = 394,787.04 × 394,787.04
  4. Step 4: Simplify right side
    253,491.61x = 155,856,806,211.74
  5. Step 5: Solve for x
    x = 155,856,806,211.74/253,491.61
  6. Step 6: Final answer
    x = 614,840.10

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.