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Finding the Third Proportional to 231,871 and 503,398

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Solution

The third proportional to 231,871 and 503,398 is: 1,092,890.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,871 : 503,398 = 503,398 : x
  2. Step 2: Convert to fraction form
    231,871/503,398 = 503,398/x
  3. Step 3: Cross multiply
    231,871x = 503,398 × 503,398
  4. Step 4: Simplify right side
    231,871x = 253,409,546,404
  5. Step 5: Solve for x
    x = 253,409,546,404/231,871
  6. Step 6: Final answer
    x = 1,092,890.21

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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.