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Finding the Third Proportional to 203,952.94 and 440,334.56

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Solution

The third proportional to 203,952.94 and 440,334.56 is: 950,682.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,952.94 : 440,334.56 = 440,334.56 : x
  2. Step 2: Convert to fraction form
    203,952.94/440,334.56 = 440,334.56/x
  3. Step 3: Cross multiply
    203,952.94x = 440,334.56 × 440,334.56
  4. Step 4: Simplify right side
    203,952.94x = 193,894,526,932.07
  5. Step 5: Solve for x
    x = 193,894,526,932.07/203,952.94
  6. Step 6: Final answer
    x = 950,682.69

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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.