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Finding the Third Proportional to 217,695 and 479,544

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Solution

The third proportional to 217,695 and 479,544 is: 1,056,351.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,695 : 479,544 = 479,544 : x
  2. Step 2: Convert to fraction form
    217,695/479,544 = 479,544/x
  3. Step 3: Cross multiply
    217,695x = 479,544 × 479,544
  4. Step 4: Simplify right side
    217,695x = 229,962,447,936
  5. Step 5: Solve for x
    x = 229,962,447,936/217,695
  6. Step 6: Final answer
    x = 1,056,351.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.