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Finding the Third Proportional to 214,668 and 462,204

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Solution

The third proportional to 214,668 and 462,204 is: 995,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,668 : 462,204 = 462,204 : x
  2. Step 2: Convert to fraction form
    214,668/462,204 = 462,204/x
  3. Step 3: Cross multiply
    214,668x = 462,204 × 462,204
  4. Step 4: Simplify right side
    214,668x = 213,632,537,616
  5. Step 5: Solve for x
    x = 213,632,537,616/214,668
  6. Step 6: Final answer
    x = 995,176.45

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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.