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Finding the Third Proportional to 263,600.75 and 408,523.25

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Solution

The third proportional to 263,600.75 and 408,523.25 is: 633,121.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,600.75 : 408,523.25 = 408,523.25 : x
  2. Step 2: Convert to fraction form
    263,600.75/408,523.25 = 408,523.25/x
  3. Step 3: Cross multiply
    263,600.75x = 408,523.25 × 408,523.25
  4. Step 4: Simplify right side
    263,600.75x = 166,891,245,790.56
  5. Step 5: Solve for x
    x = 166,891,245,790.56/263,600.75
  6. Step 6: Final answer
    x = 633,121.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.