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Finding the Third Proportional to 394,318.38 and 857,834.88

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Solution

The third proportional to 394,318.38 and 857,834.88 is: 1,866,209.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,318.38 : 857,834.88 = 857,834.88 : x
  2. Step 2: Convert to fraction form
    394,318.38/857,834.88 = 857,834.88/x
  3. Step 3: Cross multiply
    394,318.38x = 857,834.88 × 857,834.88
  4. Step 4: Simplify right side
    394,318.38x = 735,880,672,766.27
  5. Step 5: Solve for x
    x = 735,880,672,766.27/394,318.38
  6. Step 6: Final answer
    x = 1,866,209.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.