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Finding the Third Proportional to 275,832 and 421,767

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Solution

The third proportional to 275,832 and 421,767 is: 644,912.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,832 : 421,767 = 421,767 : x
  2. Step 2: Convert to fraction form
    275,832/421,767 = 421,767/x
  3. Step 3: Cross multiply
    275,832x = 421,767 × 421,767
  4. Step 4: Simplify right side
    275,832x = 177,887,402,289
  5. Step 5: Solve for x
    x = 177,887,402,289/275,832
  6. Step 6: Final answer
    x = 644,912.13

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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.