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Finding the Third Proportional to 412,005.75 and 992,217.75

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Solution

The third proportional to 412,005.75 and 992,217.75 is: 2,389,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,005.75 : 992,217.75 = 992,217.75 : x
  2. Step 2: Convert to fraction form
    412,005.75/992,217.75 = 992,217.75/x
  3. Step 3: Cross multiply
    412,005.75x = 992,217.75 × 992,217.75
  4. Step 4: Simplify right side
    412,005.75x = 984,496,063,415.06
  5. Step 5: Solve for x
    x = 984,496,063,415.06/412,005.75
  6. Step 6: Final answer
    x = 2,389,520.20

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.