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Finding the Third Proportional to 204,969 and 440,555

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Solution

The third proportional to 204,969 and 440,555 is: 946,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,969 : 440,555 = 440,555 : x
  2. Step 2: Convert to fraction form
    204,969/440,555 = 440,555/x
  3. Step 3: Cross multiply
    204,969x = 440,555 × 440,555
  4. Step 4: Simplify right side
    204,969x = 194,088,708,025
  5. Step 5: Solve for x
    x = 194,088,708,025/204,969
  6. Step 6: Final answer
    x = 946,917.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.