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Finding the Third Proportional to 354,517.25 and 532,033.50

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Solution

The third proportional to 354,517.25 and 532,033.50 is: 798,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,517.25 : 532,033.50 = 532,033.50 : x
  2. Step 2: Convert to fraction form
    354,517.25/532,033.50 = 532,033.50/x
  3. Step 3: Cross multiply
    354,517.25x = 532,033.50 × 532,033.50
  4. Step 4: Simplify right side
    354,517.25x = 283,059,645,122.25
  5. Step 5: Solve for x
    x = 283,059,645,122.25/354,517.25
  6. Step 6: Final answer
    x = 798,436.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.