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Finding the Third Proportional to 217,626.75 and 472,635

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Solution

The third proportional to 217,626.75 and 472,635 is: 1,026,453.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,626.75 : 472,635 = 472,635 : x
  2. Step 2: Convert to fraction form
    217,626.75/472,635 = 472,635/x
  3. Step 3: Cross multiply
    217,626.75x = 472,635 × 472,635
  4. Step 4: Simplify right side
    217,626.75x = 223,383,843,225
  5. Step 5: Solve for x
    x = 223,383,843,225/217,626.75
  6. Step 6: Final answer
    x = 1,026,453.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.