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Finding the Third Proportional to 412,965.75 and 848,164.50

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Solution

The third proportional to 412,965.75 and 848,164.50 is: 1,741,991.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,965.75 : 848,164.50 = 848,164.50 : x
  2. Step 2: Convert to fraction form
    412,965.75/848,164.50 = 848,164.50/x
  3. Step 3: Cross multiply
    412,965.75x = 848,164.50 × 848,164.50
  4. Step 4: Simplify right side
    412,965.75x = 719,383,019,060.25
  5. Step 5: Solve for x
    x = 719,383,019,060.25/412,965.75
  6. Step 6: Final answer
    x = 1,741,991.97

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Why These Related Problems?

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