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Finding the Third Proportional to 212,204 and 461,728

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Solution

The third proportional to 212,204 and 461,728 is: 1,004,659.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,204 : 461,728 = 461,728 : x
  2. Step 2: Convert to fraction form
    212,204/461,728 = 461,728/x
  3. Step 3: Cross multiply
    212,204x = 461,728 × 461,728
  4. Step 4: Simplify right side
    212,204x = 213,192,745,984
  5. Step 5: Solve for x
    x = 213,192,745,984/212,204
  6. Step 6: Final answer
    x = 1,004,659.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.