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Finding the Third Proportional to 203,948 and 441,794

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Solution

The third proportional to 203,948 and 441,794 is: 957,018.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,948 : 441,794 = 441,794 : x
  2. Step 2: Convert to fraction form
    203,948/441,794 = 441,794/x
  3. Step 3: Cross multiply
    203,948x = 441,794 × 441,794
  4. Step 4: Simplify right side
    203,948x = 195,181,938,436
  5. Step 5: Solve for x
    x = 195,181,938,436/203,948
  6. Step 6: Final answer
    x = 957,018.15

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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.