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Finding the Third Proportional to 231,806 and 488,934

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Solution

The third proportional to 231,806 and 488,934 is: 1,031,278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,806 : 488,934 = 488,934 : x
  2. Step 2: Convert to fraction form
    231,806/488,934 = 488,934/x
  3. Step 3: Cross multiply
    231,806x = 488,934 × 488,934
  4. Step 4: Simplify right side
    231,806x = 239,056,456,356
  5. Step 5: Solve for x
    x = 239,056,456,356/231,806
  6. Step 6: Final answer
    x = 1,031,278.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.