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Finding the Third Proportional to 368,016 and 751,512

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Solution

The third proportional to 368,016 and 751,512 is: 1,534,635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,016 : 751,512 = 751,512 : x
  2. Step 2: Convert to fraction form
    368,016/751,512 = 751,512/x
  3. Step 3: Cross multiply
    368,016x = 751,512 × 751,512
  4. Step 4: Simplify right side
    368,016x = 564,770,286,144
  5. Step 5: Solve for x
    x = 564,770,286,144/368,016
  6. Step 6: Final answer
    x = 1,534,635.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.