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Finding the Third Proportional to 267,847 and 405,226

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Solution

The third proportional to 267,847 and 405,226 is: 613,066.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,847 : 405,226 = 405,226 : x
  2. Step 2: Convert to fraction form
    267,847/405,226 = 405,226/x
  3. Step 3: Cross multiply
    267,847x = 405,226 × 405,226
  4. Step 4: Simplify right side
    267,847x = 164,208,111,076
  5. Step 5: Solve for x
    x = 164,208,111,076/267,847
  6. Step 6: Final answer
    x = 613,066.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.