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Finding the Third Proportional to 206,147 and 447,544

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Solution

The third proportional to 206,147 and 447,544 is: 971,615.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,147 : 447,544 = 447,544 : x
  2. Step 2: Convert to fraction form
    206,147/447,544 = 447,544/x
  3. Step 3: Cross multiply
    206,147x = 447,544 × 447,544
  4. Step 4: Simplify right side
    206,147x = 200,295,631,936
  5. Step 5: Solve for x
    x = 200,295,631,936/206,147
  6. Step 6: Final answer
    x = 971,615.56

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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.