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Finding the Third Proportional to 214,828 and 331,962

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Solution

The third proportional to 214,828 and 331,962 is: 512,962.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,828 : 331,962 = 331,962 : x
  2. Step 2: Convert to fraction form
    214,828/331,962 = 331,962/x
  3. Step 3: Cross multiply
    214,828x = 331,962 × 331,962
  4. Step 4: Simplify right side
    214,828x = 110,198,769,444
  5. Step 5: Solve for x
    x = 110,198,769,444/214,828
  6. Step 6: Final answer
    x = 512,962.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.