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Finding the Third Proportional to 486,299.25 and 781,350.75

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Solution

The third proportional to 486,299.25 and 781,350.75 is: 1,255,418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,299.25 : 781,350.75 = 781,350.75 : x
  2. Step 2: Convert to fraction form
    486,299.25/781,350.75 = 781,350.75/x
  3. Step 3: Cross multiply
    486,299.25x = 781,350.75 × 781,350.75
  4. Step 4: Simplify right side
    486,299.25x = 610,508,994,525.56
  5. Step 5: Solve for x
    x = 610,508,994,525.56/486,299.25
  6. Step 6: Final answer
    x = 1,255,418.33

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.