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Finding the Third Proportional to 203,483 and 440,864

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Solution

The third proportional to 203,483 and 440,864 is: 955,171.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,483 : 440,864 = 440,864 : x
  2. Step 2: Convert to fraction form
    203,483/440,864 = 440,864/x
  3. Step 3: Cross multiply
    203,483x = 440,864 × 440,864
  4. Step 4: Simplify right side
    203,483x = 194,361,066,496
  5. Step 5: Solve for x
    x = 194,361,066,496/203,483
  6. Step 6: Final answer
    x = 955,171.03

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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.