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Finding the Third Proportional to 203,462 and 441,949

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Solution

The third proportional to 203,462 and 441,949 is: 959,977.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,462 : 441,949 = 441,949 : x
  2. Step 2: Convert to fraction form
    203,462/441,949 = 441,949/x
  3. Step 3: Cross multiply
    203,462x = 441,949 × 441,949
  4. Step 4: Simplify right side
    203,462x = 195,318,918,601
  5. Step 5: Solve for x
    x = 195,318,918,601/203,462
  6. Step 6: Final answer
    x = 959,977.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.