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Finding the Third Proportional to 227,863.13 and 490,785.75

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Solution

The third proportional to 227,863.13 and 490,785.75 is: 1,057,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,863.13 : 490,785.75 = 490,785.75 : x
  2. Step 2: Convert to fraction form
    227,863.13/490,785.75 = 490,785.75/x
  3. Step 3: Cross multiply
    227,863.13x = 490,785.75 × 490,785.75
  4. Step 4: Simplify right side
    227,863.13x = 240,870,652,403.06
  5. Step 5: Solve for x
    x = 240,870,652,403.06/227,863.13
  6. Step 6: Final answer
    x = 1,057,084.83

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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.