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Finding the Third Proportional to 396,226 and 864,668

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Solution

The third proportional to 396,226 and 864,668 is: 1,886,930.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,226 : 864,668 = 864,668 : x
  2. Step 2: Convert to fraction form
    396,226/864,668 = 864,668/x
  3. Step 3: Cross multiply
    396,226x = 864,668 × 864,668
  4. Step 4: Simplify right side
    396,226x = 747,650,750,224
  5. Step 5: Solve for x
    x = 747,650,750,224/396,226
  6. Step 6: Final answer
    x = 1,886,930.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.