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Finding the Third Proportional to 414,517.50 and 892,599.75

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Solution

The third proportional to 414,517.50 and 892,599.75 is: 1,922,076.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,517.50 : 892,599.75 = 892,599.75 : x
  2. Step 2: Convert to fraction form
    414,517.50/892,599.75 = 892,599.75/x
  3. Step 3: Cross multiply
    414,517.50x = 892,599.75 × 892,599.75
  4. Step 4: Simplify right side
    414,517.50x = 796,734,313,700.06
  5. Step 5: Solve for x
    x = 796,734,313,700.06/414,517.50
  6. Step 6: Final answer
    x = 1,922,076.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.