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Finding the Third Proportional to 203,481 and 441,977

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Solution

The third proportional to 203,481 and 441,977 is: 960,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,481 : 441,977 = 441,977 : x
  2. Step 2: Convert to fraction form
    203,481/441,977 = 441,977/x
  3. Step 3: Cross multiply
    203,481x = 441,977 × 441,977
  4. Step 4: Simplify right side
    203,481x = 195,343,668,529
  5. Step 5: Solve for x
    x = 195,343,668,529/203,481
  6. Step 6: Final answer
    x = 960,009.38

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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.