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Finding the Third Proportional to 491,451.75 and 741,687.75

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Solution

The third proportional to 491,451.75 and 741,687.75 is: 1,119,338.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,451.75 : 741,687.75 = 741,687.75 : x
  2. Step 2: Convert to fraction form
    491,451.75/741,687.75 = 741,687.75/x
  3. Step 3: Cross multiply
    491,451.75x = 741,687.75 × 741,687.75
  4. Step 4: Simplify right side
    491,451.75x = 550,100,718,500.06
  5. Step 5: Solve for x
    x = 550,100,718,500.06/491,451.75
  6. Step 6: Final answer
    x = 1,119,338.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.