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Finding the Third Proportional to 408,568.50 and 806,676.75

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Solution

The third proportional to 408,568.50 and 806,676.75 is: 1,592,700.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,568.50 : 806,676.75 = 806,676.75 : x
  2. Step 2: Convert to fraction form
    408,568.50/806,676.75 = 806,676.75/x
  3. Step 3: Cross multiply
    408,568.50x = 806,676.75 × 806,676.75
  4. Step 4: Simplify right side
    408,568.50x = 650,727,378,990.56
  5. Step 5: Solve for x
    x = 650,727,378,990.56/408,568.50
  6. Step 6: Final answer
    x = 1,592,700.81

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.