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Finding the Third Proportional to 231,914 and 502,204

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Solution

The third proportional to 231,914 and 502,204 is: 1,087,510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,914 : 502,204 = 502,204 : x
  2. Step 2: Convert to fraction form
    231,914/502,204 = 502,204/x
  3. Step 3: Cross multiply
    231,914x = 502,204 × 502,204
  4. Step 4: Simplify right side
    231,914x = 252,208,857,616
  5. Step 5: Solve for x
    x = 252,208,857,616/231,914
  6. Step 6: Final answer
    x = 1,087,510.27

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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.