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Finding the Third Proportional to 196,190 and 436,794

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Solution

The third proportional to 196,190 and 436,794 is: 972,470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,190 : 436,794 = 436,794 : x
  2. Step 2: Convert to fraction form
    196,190/436,794 = 436,794/x
  3. Step 3: Cross multiply
    196,190x = 436,794 × 436,794
  4. Step 4: Simplify right side
    196,190x = 190,788,998,436
  5. Step 5: Solve for x
    x = 190,788,998,436/196,190
  6. Step 6: Final answer
    x = 972,470.56

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.