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Finding the Third Proportional to 200,404 and 440,216

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Solution

The third proportional to 200,404 and 440,216 is: 966,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,404 : 440,216 = 440,216 : x
  2. Step 2: Convert to fraction form
    200,404/440,216 = 440,216/x
  3. Step 3: Cross multiply
    200,404x = 440,216 × 440,216
  4. Step 4: Simplify right side
    200,404x = 193,790,126,656
  5. Step 5: Solve for x
    x = 193,790,126,656/200,404
  6. Step 6: Final answer
    x = 966,997.30

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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.