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Finding the Third Proportional to 203,922 and 440,644

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Solution

The third proportional to 203,922 and 440,644 is: 952,163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,922 : 440,644 = 440,644 : x
  2. Step 2: Convert to fraction form
    203,922/440,644 = 440,644/x
  3. Step 3: Cross multiply
    203,922x = 440,644 × 440,644
  4. Step 4: Simplify right side
    203,922x = 194,167,134,736
  5. Step 5: Solve for x
    x = 194,167,134,736/203,922
  6. Step 6: Final answer
    x = 952,163.74

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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.