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Finding the Third Proportional to 217,476 and 441,099

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Solution

The third proportional to 217,476 and 441,099 is: 894,665.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,476 : 441,099 = 441,099 : x
  2. Step 2: Convert to fraction form
    217,476/441,099 = 441,099/x
  3. Step 3: Cross multiply
    217,476x = 441,099 × 441,099
  4. Step 4: Simplify right side
    217,476x = 194,568,327,801
  5. Step 5: Solve for x
    x = 194,568,327,801/217,476
  6. Step 6: Final answer
    x = 894,665.75

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.