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Finding the Third Proportional to 269,530 and 421,551

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Solution

The third proportional to 269,530 and 421,551 is: 659,315.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,530 : 421,551 = 421,551 : x
  2. Step 2: Convert to fraction form
    269,530/421,551 = 421,551/x
  3. Step 3: Cross multiply
    269,530x = 421,551 × 421,551
  4. Step 4: Simplify right side
    269,530x = 177,705,245,601
  5. Step 5: Solve for x
    x = 177,705,245,601/269,530
  6. Step 6: Final answer
    x = 659,315.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.