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Finding the Third Proportional to 231,912 and 502,200

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Solution

The third proportional to 231,912 and 502,200 is: 1,087,502.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,912 : 502,200 = 502,200 : x
  2. Step 2: Convert to fraction form
    231,912/502,200 = 502,200/x
  3. Step 3: Cross multiply
    231,912x = 502,200 × 502,200
  4. Step 4: Simplify right side
    231,912x = 252,204,840,000
  5. Step 5: Solve for x
    x = 252,204,840,000/231,912
  6. Step 6: Final answer
    x = 1,087,502.33

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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.