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Finding the Third Proportional to 203,936 and 441,471

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Solution

The third proportional to 203,936 and 441,471 is: 955,675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,936 : 441,471 = 441,471 : x
  2. Step 2: Convert to fraction form
    203,936/441,471 = 441,471/x
  3. Step 3: Cross multiply
    203,936x = 441,471 × 441,471
  4. Step 4: Simplify right side
    203,936x = 194,896,643,841
  5. Step 5: Solve for x
    x = 194,896,643,841/203,936
  6. Step 6: Final answer
    x = 955,675.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.