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Finding the Third Proportional to 311,521.25 and 466,763.13

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Solution

The third proportional to 311,521.25 and 466,763.13 is: 699,367.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,521.25 : 466,763.13 = 466,763.13 : x
  2. Step 2: Convert to fraction form
    311,521.25/466,763.13 = 466,763.13/x
  3. Step 3: Cross multiply
    311,521.25x = 466,763.13 × 466,763.13
  4. Step 4: Simplify right side
    311,521.25x = 217,867,822,152.94
  5. Step 5: Solve for x
    x = 217,867,822,152.94/311,521.25
  6. Step 6: Final answer
    x = 699,367.44

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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.