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Finding the Third Proportional to 207,916 and 449,021

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Solution

The third proportional to 207,916 and 449,021 is: 969,717.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,916 : 449,021 = 449,021 : x
  2. Step 2: Convert to fraction form
    207,916/449,021 = 449,021/x
  3. Step 3: Cross multiply
    207,916x = 449,021 × 449,021
  4. Step 4: Simplify right side
    207,916x = 201,619,858,441
  5. Step 5: Solve for x
    x = 201,619,858,441/207,916
  6. Step 6: Final answer
    x = 969,717.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.