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Finding the Third Proportional to 394,429.69 and 863,939.25

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Solution

The third proportional to 394,429.69 and 863,939.25 is: 1,892,329.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,429.69 : 863,939.25 = 863,939.25 : x
  2. Step 2: Convert to fraction form
    394,429.69/863,939.25 = 863,939.25/x
  3. Step 3: Cross multiply
    394,429.69x = 863,939.25 × 863,939.25
  4. Step 4: Simplify right side
    394,429.69x = 746,391,027,690.56
  5. Step 5: Solve for x
    x = 746,391,027,690.56/394,429.69
  6. Step 6: Final answer
    x = 1,892,329.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.