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Finding the Third Proportional to 194,805 and 413,667

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Solution

The third proportional to 194,805 and 413,667 is: 878,418.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,805 : 413,667 = 413,667 : x
  2. Step 2: Convert to fraction form
    194,805/413,667 = 413,667/x
  3. Step 3: Cross multiply
    194,805x = 413,667 × 413,667
  4. Step 4: Simplify right side
    194,805x = 171,120,386,889
  5. Step 5: Solve for x
    x = 171,120,386,889/194,805
  6. Step 6: Final answer
    x = 878,418.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.