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Finding the Third Proportional to 283,927 and 576,198

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Solution

The third proportional to 283,927 and 576,198 is: 1,169,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,927 : 576,198 = 576,198 : x
  2. Step 2: Convert to fraction form
    283,927/576,198 = 576,198/x
  3. Step 3: Cross multiply
    283,927x = 576,198 × 576,198
  4. Step 4: Simplify right side
    283,927x = 332,004,135,204
  5. Step 5: Solve for x
    x = 332,004,135,204/283,927
  6. Step 6: Final answer
    x = 1,169,329.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.