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Finding the Third Proportional to 414,517.50 and 899,019

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Solution

The third proportional to 414,517.50 and 899,019 is: 1,949,821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,517.50 : 899,019 = 899,019 : x
  2. Step 2: Convert to fraction form
    414,517.50/899,019 = 899,019/x
  3. Step 3: Cross multiply
    414,517.50x = 899,019 × 899,019
  4. Step 4: Simplify right side
    414,517.50x = 808,235,162,361
  5. Step 5: Solve for x
    x = 808,235,162,361/414,517.50
  6. Step 6: Final answer
    x = 1,949,821.57

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.