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Finding the Third Proportional to 281,204 and 663,794

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Solution

The third proportional to 281,204 and 663,794 is: 1,566,913.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,204 : 663,794 = 663,794 : x
  2. Step 2: Convert to fraction form
    281,204/663,794 = 663,794/x
  3. Step 3: Cross multiply
    281,204x = 663,794 × 663,794
  4. Step 4: Simplify right side
    281,204x = 440,622,474,436
  5. Step 5: Solve for x
    x = 440,622,474,436/281,204
  6. Step 6: Final answer
    x = 1,566,913.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.