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Finding the Third Proportional to 231,514 and 491,450

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Solution

The third proportional to 231,514 and 491,450 is: 1,043,233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,514 : 491,450 = 491,450 : x
  2. Step 2: Convert to fraction form
    231,514/491,450 = 491,450/x
  3. Step 3: Cross multiply
    231,514x = 491,450 × 491,450
  4. Step 4: Simplify right side
    231,514x = 241,523,102,500
  5. Step 5: Solve for x
    x = 241,523,102,500/231,514
  6. Step 6: Final answer
    x = 1,043,233.25

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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.