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Finding the Third Proportional to 217,703 and 461,832

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Solution

The third proportional to 217,703 and 461,832 is: 979,723.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,703 : 461,832 = 461,832 : x
  2. Step 2: Convert to fraction form
    217,703/461,832 = 461,832/x
  3. Step 3: Cross multiply
    217,703x = 461,832 × 461,832
  4. Step 4: Simplify right side
    217,703x = 213,288,796,224
  5. Step 5: Solve for x
    x = 213,288,796,224/217,703
  6. Step 6: Final answer
    x = 979,723.73

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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.