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Finding the Third Proportional to 196,782 and 422,232

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Solution

The third proportional to 196,782 and 422,232 is: 905,976.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,782 : 422,232 = 422,232 : x
  2. Step 2: Convert to fraction form
    196,782/422,232 = 422,232/x
  3. Step 3: Cross multiply
    196,782x = 422,232 × 422,232
  4. Step 4: Simplify right side
    196,782x = 178,279,861,824
  5. Step 5: Solve for x
    x = 178,279,861,824/196,782
  6. Step 6: Final answer
    x = 905,976.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.