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Finding the Third Proportional to 200,204 and 434,573

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Solution

The third proportional to 200,204 and 434,573 is: 943,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,204 : 434,573 = 434,573 : x
  2. Step 2: Convert to fraction form
    200,204/434,573 = 434,573/x
  3. Step 3: Cross multiply
    200,204x = 434,573 × 434,573
  4. Step 4: Simplify right side
    200,204x = 188,853,692,329
  5. Step 5: Solve for x
    x = 188,853,692,329/200,204
  6. Step 6: Final answer
    x = 943,306.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.