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Finding the Third Proportional to 203,892.19 and 440,589.38

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Solution

The third proportional to 203,892.19 and 440,589.38 is: 952,066.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,892.19 : 440,589.38 = 440,589.38 : x
  2. Step 2: Convert to fraction form
    203,892.19/440,589.38 = 440,589.38/x
  3. Step 3: Cross multiply
    203,892.19x = 440,589.38 × 440,589.38
  4. Step 4: Simplify right side
    203,892.19x = 194,118,997,362.89
  5. Step 5: Solve for x
    x = 194,118,997,362.89/203,892.19
  6. Step 6: Final answer
    x = 952,066.87

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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.