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Finding the Third Proportional to 205,008 and 440,120

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Solution

The third proportional to 205,008 and 440,120 is: 944,868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,008 : 440,120 = 440,120 : x
  2. Step 2: Convert to fraction form
    205,008/440,120 = 440,120/x
  3. Step 3: Cross multiply
    205,008x = 440,120 × 440,120
  4. Step 4: Simplify right side
    205,008x = 193,705,614,400
  5. Step 5: Solve for x
    x = 193,705,614,400/205,008
  6. Step 6: Final answer
    x = 944,868.56

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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.