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Finding the Third Proportional to 203,486 and 440,868

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Solution

The third proportional to 203,486 and 440,868 is: 955,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,486 : 440,868 = 440,868 : x
  2. Step 2: Convert to fraction form
    203,486/440,868 = 440,868/x
  3. Step 3: Cross multiply
    203,486x = 440,868 × 440,868
  4. Step 4: Simplify right side
    203,486x = 194,364,593,424
  5. Step 5: Solve for x
    x = 194,364,593,424/203,486
  6. Step 6: Final answer
    x = 955,174.28

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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.