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Finding the Third Proportional to 412,879.50 and 581,429.25

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Solution

The third proportional to 412,879.50 and 581,429.25 is: 818,786.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,879.50 : 581,429.25 = 581,429.25 : x
  2. Step 2: Convert to fraction form
    412,879.50/581,429.25 = 581,429.25/x
  3. Step 3: Cross multiply
    412,879.50x = 581,429.25 × 581,429.25
  4. Step 4: Simplify right side
    412,879.50x = 338,059,972,755.56
  5. Step 5: Solve for x
    x = 338,059,972,755.56/412,879.50
  6. Step 6: Final answer
    x = 818,786.04

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.