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Finding the Third Proportional to 203,524 and 447,644

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Solution

The third proportional to 203,524 and 447,644 is: 984,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,524 : 447,644 = 447,644 : x
  2. Step 2: Convert to fraction form
    203,524/447,644 = 447,644/x
  3. Step 3: Cross multiply
    203,524x = 447,644 × 447,644
  4. Step 4: Simplify right side
    203,524x = 200,385,150,736
  5. Step 5: Solve for x
    x = 200,385,150,736/203,524
  6. Step 6: Final answer
    x = 984,577.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.