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Finding the Third Proportional to 230,797 and 479,939

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Solution

The third proportional to 230,797 and 479,939 is: 998,026.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,797 : 479,939 = 479,939 : x
  2. Step 2: Convert to fraction form
    230,797/479,939 = 479,939/x
  3. Step 3: Cross multiply
    230,797x = 479,939 × 479,939
  4. Step 4: Simplify right side
    230,797x = 230,341,443,721
  5. Step 5: Solve for x
    x = 230,341,443,721/230,797
  6. Step 6: Final answer
    x = 998,026.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.