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Finding the Third Proportional to 412,964.50 and 848,162.25

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Solution

The third proportional to 412,964.50 and 848,162.25 is: 1,741,988.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,964.50 : 848,162.25 = 848,162.25 : x
  2. Step 2: Convert to fraction form
    412,964.50/848,162.25 = 848,162.25/x
  3. Step 3: Cross multiply
    412,964.50x = 848,162.25 × 848,162.25
  4. Step 4: Simplify right side
    412,964.50x = 719,379,202,325.06
  5. Step 5: Solve for x
    x = 719,379,202,325.06/412,964.50
  6. Step 6: Final answer
    x = 1,741,988.00

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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.