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Finding the Third Proportional to 394,513.50 and 862,836

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Solution

The third proportional to 394,513.50 and 862,836 is: 1,887,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,513.50 : 862,836 = 862,836 : x
  2. Step 2: Convert to fraction form
    394,513.50/862,836 = 862,836/x
  3. Step 3: Cross multiply
    394,513.50x = 862,836 × 862,836
  4. Step 4: Simplify right side
    394,513.50x = 744,485,962,896
  5. Step 5: Solve for x
    x = 744,485,962,896/394,513.50
  6. Step 6: Final answer
    x = 1,887,098.83

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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.