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Finding the Third Proportional to 217,900 and 475,004

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Solution

The third proportional to 217,900 and 475,004 is: 1,035,469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,900 : 475,004 = 475,004 : x
  2. Step 2: Convert to fraction form
    217,900/475,004 = 475,004/x
  3. Step 3: Cross multiply
    217,900x = 475,004 × 475,004
  4. Step 4: Simplify right side
    217,900x = 225,628,800,016
  5. Step 5: Solve for x
    x = 225,628,800,016/217,900
  6. Step 6: Final answer
    x = 1,035,469.48

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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.