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Finding the Third Proportional to 263,644 and 622,092

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Solution

The third proportional to 263,644 and 622,092 is: 1,467,882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,644 : 622,092 = 622,092 : x
  2. Step 2: Convert to fraction form
    263,644/622,092 = 622,092/x
  3. Step 3: Cross multiply
    263,644x = 622,092 × 622,092
  4. Step 4: Simplify right side
    263,644x = 386,998,456,464
  5. Step 5: Solve for x
    x = 386,998,456,464/263,644
  6. Step 6: Final answer
    x = 1,467,882.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.