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Finding the Third Proportional to 203,784 and 447,906

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Solution

The third proportional to 203,784 and 447,906 is: 984,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,784 : 447,906 = 447,906 : x
  2. Step 2: Convert to fraction form
    203,784/447,906 = 447,906/x
  3. Step 3: Cross multiply
    203,784x = 447,906 × 447,906
  4. Step 4: Simplify right side
    203,784x = 200,619,784,836
  5. Step 5: Solve for x
    x = 200,619,784,836/203,784
  6. Step 6: Final answer
    x = 984,472.70

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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.