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Finding the Third Proportional to 311,682 and 441,027

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Solution

The third proportional to 311,682 and 441,027 is: 624,048.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,682 : 441,027 = 441,027 : x
  2. Step 2: Convert to fraction form
    311,682/441,027 = 441,027/x
  3. Step 3: Cross multiply
    311,682x = 441,027 × 441,027
  4. Step 4: Simplify right side
    311,682x = 194,504,814,729
  5. Step 5: Solve for x
    x = 194,504,814,729/311,682
  6. Step 6: Final answer
    x = 624,048.92

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Why These Related Problems?

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