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Finding the Third Proportional to 412,998.75 and 848,229.75

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Solution

The third proportional to 412,998.75 and 848,229.75 is: 1,742,120.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,998.75 : 848,229.75 = 848,229.75 : x
  2. Step 2: Convert to fraction form
    412,998.75/848,229.75 = 848,229.75/x
  3. Step 3: Cross multiply
    412,998.75x = 848,229.75 × 848,229.75
  4. Step 4: Simplify right side
    412,998.75x = 719,493,708,785.06
  5. Step 5: Solve for x
    x = 719,493,708,785.06/412,998.75
  6. Step 6: Final answer
    x = 1,742,120.79

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.