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Finding the Third Proportional to 200,954 and 401,908

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Solution

The third proportional to 200,954 and 401,908 is: 803,816

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,954 : 401,908 = 401,908 : x
  2. Step 2: Convert to fraction form
    200,954/401,908 = 401,908/x
  3. Step 3: Cross multiply
    200,954x = 401,908 × 401,908
  4. Step 4: Simplify right side
    200,954x = 161,530,040,464
  5. Step 5: Solve for x
    x = 161,530,040,464/200,954
  6. Step 6: Final answer
    x = 803,816

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.