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Finding the Third Proportional to 203,455 and 441,938

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Solution

The third proportional to 203,455 and 441,938 is: 959,962.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,455 : 441,938 = 441,938 : x
  2. Step 2: Convert to fraction form
    203,455/441,938 = 441,938/x
  3. Step 3: Cross multiply
    203,455x = 441,938 × 441,938
  4. Step 4: Simplify right side
    203,455x = 195,309,195,844
  5. Step 5: Solve for x
    x = 195,309,195,844/203,455
  6. Step 6: Final answer
    x = 959,962.62

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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.