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Finding the Third Proportional to 275,877 and 421,834

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Solution

The third proportional to 275,877 and 421,834 is: 645,011.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,877 : 421,834 = 421,834 : x
  2. Step 2: Convert to fraction form
    275,877/421,834 = 421,834/x
  3. Step 3: Cross multiply
    275,877x = 421,834 × 421,834
  4. Step 4: Simplify right side
    275,877x = 177,943,923,556
  5. Step 5: Solve for x
    x = 177,943,923,556/275,877
  6. Step 6: Final answer
    x = 645,011.81

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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.