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Finding the Third Proportional to 231,508 and 491,438

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Solution

The third proportional to 231,508 and 491,438 is: 1,043,209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,508 : 491,438 = 491,438 : x
  2. Step 2: Convert to fraction form
    231,508/491,438 = 491,438/x
  3. Step 3: Cross multiply
    231,508x = 491,438 × 491,438
  4. Step 4: Simplify right side
    231,508x = 241,511,307,844
  5. Step 5: Solve for x
    x = 241,511,307,844/231,508
  6. Step 6: Final answer
    x = 1,043,209.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.