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Finding the Third Proportional to 275,828 and 421,662

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Solution

The third proportional to 275,828 and 421,662 is: 644,600.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,828 : 421,662 = 421,662 : x
  2. Step 2: Convert to fraction form
    275,828/421,662 = 421,662/x
  3. Step 3: Cross multiply
    275,828x = 421,662 × 421,662
  4. Step 4: Simplify right side
    275,828x = 177,798,842,244
  5. Step 5: Solve for x
    x = 177,798,842,244/275,828
  6. Step 6: Final answer
    x = 644,600.41

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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.