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Finding the Third Proportional to 231,198 and 501,762

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Solution

The third proportional to 231,198 and 501,762 is: 1,088,958.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,198 : 501,762 = 501,762 : x
  2. Step 2: Convert to fraction form
    231,198/501,762 = 501,762/x
  3. Step 3: Cross multiply
    231,198x = 501,762 × 501,762
  4. Step 4: Simplify right side
    231,198x = 251,765,104,644
  5. Step 5: Solve for x
    x = 251,765,104,644/231,198
  6. Step 6: Final answer
    x = 1,088,958.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.