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Finding the Third Proportional to 203,832 and 433,977

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Solution

The third proportional to 203,832 and 433,977 is: 923,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,832 : 433,977 = 433,977 : x
  2. Step 2: Convert to fraction form
    203,832/433,977 = 433,977/x
  3. Step 3: Cross multiply
    203,832x = 433,977 × 433,977
  4. Step 4: Simplify right side
    203,832x = 188,336,036,529
  5. Step 5: Solve for x
    x = 188,336,036,529/203,832
  6. Step 6: Final answer
    x = 923,976.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.