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Finding the Third Proportional to 208,198 and 447,977

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Solution

The third proportional to 208,198 and 447,977 is: 963,906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,198 : 447,977 = 447,977 : x
  2. Step 2: Convert to fraction form
    208,198/447,977 = 447,977/x
  3. Step 3: Cross multiply
    208,198x = 447,977 × 447,977
  4. Step 4: Simplify right side
    208,198x = 200,683,392,529
  5. Step 5: Solve for x
    x = 200,683,392,529/208,198
  6. Step 6: Final answer
    x = 963,906.44

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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.