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Finding the Third Proportional to 230,796 and 479,937

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Solution

The third proportional to 230,796 and 479,937 is: 998,022.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,796 : 479,937 = 479,937 : x
  2. Step 2: Convert to fraction form
    230,796/479,937 = 479,937/x
  3. Step 3: Cross multiply
    230,796x = 479,937 × 479,937
  4. Step 4: Simplify right side
    230,796x = 230,339,523,969
  5. Step 5: Solve for x
    x = 230,339,523,969/230,796
  6. Step 6: Final answer
    x = 998,022.17

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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.