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Finding the Third Proportional to 217,832 and 462,544

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Solution

The third proportional to 217,832 and 462,544 is: 982,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,832 : 462,544 = 462,544 : x
  2. Step 2: Convert to fraction form
    217,832/462,544 = 462,544/x
  3. Step 3: Cross multiply
    217,832x = 462,544 × 462,544
  4. Step 4: Simplify right side
    217,832x = 213,946,951,936
  5. Step 5: Solve for x
    x = 213,946,951,936/217,832
  6. Step 6: Final answer
    x = 982,164.93

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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.