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Finding the Third Proportional to 196,648 and 462,244

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Solution

The third proportional to 196,648 and 462,244 is: 1,086,558.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,648 : 462,244 = 462,244 : x
  2. Step 2: Convert to fraction form
    196,648/462,244 = 462,244/x
  3. Step 3: Cross multiply
    196,648x = 462,244 × 462,244
  4. Step 4: Simplify right side
    196,648x = 213,669,515,536
  5. Step 5: Solve for x
    x = 213,669,515,536/196,648
  6. Step 6: Final answer
    x = 1,086,558.29

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.