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Finding the Third Proportional to 238,806 and 502,188

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Solution

The third proportional to 238,806 and 502,188 is: 1,056,057.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,806 : 502,188 = 502,188 : x
  2. Step 2: Convert to fraction form
    238,806/502,188 = 502,188/x
  3. Step 3: Cross multiply
    238,806x = 502,188 × 502,188
  4. Step 4: Simplify right side
    238,806x = 252,192,787,344
  5. Step 5: Solve for x
    x = 252,192,787,344/238,806
  6. Step 6: Final answer
    x = 1,056,057.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.