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Finding the Third Proportional to 275,867 and 421,802

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Solution

The third proportional to 275,867 and 421,802 is: 644,937.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,867 : 421,802 = 421,802 : x
  2. Step 2: Convert to fraction form
    275,867/421,802 = 421,802/x
  3. Step 3: Cross multiply
    275,867x = 421,802 × 421,802
  4. Step 4: Simplify right side
    275,867x = 177,916,927,204
  5. Step 5: Solve for x
    x = 177,916,927,204/275,867
  6. Step 6: Final answer
    x = 644,937.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.