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Finding the Third Proportional to 203,406 and 420,956

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Solution

The third proportional to 203,406 and 420,956 is: 871,183.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,406 : 420,956 = 420,956 : x
  2. Step 2: Convert to fraction form
    203,406/420,956 = 420,956/x
  3. Step 3: Cross multiply
    203,406x = 420,956 × 420,956
  4. Step 4: Simplify right side
    203,406x = 177,203,953,936
  5. Step 5: Solve for x
    x = 177,203,953,936/203,406
  6. Step 6: Final answer
    x = 871,183.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.