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Finding the Third Proportional to 605,198.25 and 848,171.25

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Solution

The third proportional to 605,198.25 and 848,171.25 is: 1,188,692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,198.25 : 848,171.25 = 848,171.25 : x
  2. Step 2: Convert to fraction form
    605,198.25/848,171.25 = 848,171.25/x
  3. Step 3: Cross multiply
    605,198.25x = 848,171.25 × 848,171.25
  4. Step 4: Simplify right side
    605,198.25x = 719,394,469,326.56
  5. Step 5: Solve for x
    x = 719,394,469,326.56/605,198.25
  6. Step 6: Final answer
    x = 1,188,692.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.