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Finding the Third Proportional to 203,471 and 441,969

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Solution

The third proportional to 203,471 and 441,969 is: 960,021.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,471 : 441,969 = 441,969 : x
  2. Step 2: Convert to fraction form
    203,471/441,969 = 441,969/x
  3. Step 3: Cross multiply
    203,471x = 441,969 × 441,969
  4. Step 4: Simplify right side
    203,471x = 195,336,596,961
  5. Step 5: Solve for x
    x = 195,336,596,961/203,471
  6. Step 6: Final answer
    x = 960,021.81

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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.