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Finding the Third Proportional to 422,399.25 and 879,744.94

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Solution

The third proportional to 422,399.25 and 879,744.94 is: 1,832,273.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,399.25 : 879,744.94 = 879,744.94 : x
  2. Step 2: Convert to fraction form
    422,399.25/879,744.94 = 879,744.94/x
  3. Step 3: Cross multiply
    422,399.25x = 879,744.94 × 879,744.94
  4. Step 4: Simplify right side
    422,399.25x = 773,951,155,056.88
  5. Step 5: Solve for x
    x = 773,951,155,056.88/422,399.25
  6. Step 6: Final answer
    x = 1,832,273.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.