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Finding the Third Proportional to 218,512 and 472,016

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Solution

The third proportional to 218,512 and 472,016 is: 1,019,619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,512 : 472,016 = 472,016 : x
  2. Step 2: Convert to fraction form
    218,512/472,016 = 472,016/x
  3. Step 3: Cross multiply
    218,512x = 472,016 × 472,016
  4. Step 4: Simplify right side
    218,512x = 222,799,104,256
  5. Step 5: Solve for x
    x = 222,799,104,256/218,512
  6. Step 6: Final answer
    x = 1,019,619.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.