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Finding the Third Proportional to 398,948 and 874,198

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Solution

The third proportional to 398,948 and 874,198 is: 1,915,593.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,948 : 874,198 = 874,198 : x
  2. Step 2: Convert to fraction form
    398,948/874,198 = 874,198/x
  3. Step 3: Cross multiply
    398,948x = 874,198 × 874,198
  4. Step 4: Simplify right side
    398,948x = 764,222,143,204
  5. Step 5: Solve for x
    x = 764,222,143,204/398,948
  6. Step 6: Final answer
    x = 1,915,593.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.