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Finding the Third Proportional to 203,067 and 440,033

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Solution

The third proportional to 203,067 and 440,033 is: 953,522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,067 : 440,033 = 440,033 : x
  2. Step 2: Convert to fraction form
    203,067/440,033 = 440,033/x
  3. Step 3: Cross multiply
    203,067x = 440,033 × 440,033
  4. Step 4: Simplify right side
    203,067x = 193,629,041,089
  5. Step 5: Solve for x
    x = 193,629,041,089/203,067
  6. Step 6: Final answer
    x = 953,522.93

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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.