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Finding the Third Proportional to 394,398.49 and 863,838.42

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Solution

The third proportional to 394,398.49 and 863,838.42 is: 1,892,037.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,398.49 : 863,838.42 = 863,838.42 : x
  2. Step 2: Convert to fraction form
    394,398.49/863,838.42 = 863,838.42/x
  3. Step 3: Cross multiply
    394,398.49x = 863,838.42 × 863,838.42
  4. Step 4: Simplify right side
    394,398.49x = 746,216,819,107.56
  5. Step 5: Solve for x
    x = 746,216,819,107.56/394,398.49
  6. Step 6: Final answer
    x = 1,892,037.71

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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.