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Finding the Third Proportional to 486,778.50 and 726,117.75

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Solution

The third proportional to 486,778.50 and 726,117.75 is: 1,083,135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,778.50 : 726,117.75 = 726,117.75 : x
  2. Step 2: Convert to fraction form
    486,778.50/726,117.75 = 726,117.75/x
  3. Step 3: Cross multiply
    486,778.50x = 726,117.75 × 726,117.75
  4. Step 4: Simplify right side
    486,778.50x = 527,246,986,865.06
  5. Step 5: Solve for x
    x = 527,246,986,865.06/486,778.50
  6. Step 6: Final answer
    x = 1,083,135.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.