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Finding the Third Proportional to 228,266 and 491,668

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Solution

The third proportional to 228,266 and 491,668 is: 1,059,016.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,266 : 491,668 = 491,668 : x
  2. Step 2: Convert to fraction form
    228,266/491,668 = 491,668/x
  3. Step 3: Cross multiply
    228,266x = 491,668 × 491,668
  4. Step 4: Simplify right side
    228,266x = 241,737,422,224
  5. Step 5: Solve for x
    x = 241,737,422,224/228,266
  6. Step 6: Final answer
    x = 1,059,016.33

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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.