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Finding the Third Proportional to 539,793.50 and 806,716.50

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Solution

The third proportional to 539,793.50 and 806,716.50 is: 1,205,630.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,793.50 : 806,716.50 = 806,716.50 : x
  2. Step 2: Convert to fraction form
    539,793.50/806,716.50 = 806,716.50/x
  3. Step 3: Cross multiply
    539,793.50x = 806,716.50 × 806,716.50
  4. Step 4: Simplify right side
    539,793.50x = 650,791,511,372.25
  5. Step 5: Solve for x
    x = 650,791,511,372.25/539,793.50
  6. Step 6: Final answer
    x = 1,205,630.51

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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.