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Finding the Third Proportional to 427.75 and 668

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Solution

The third proportional to 427.75 and 668 is: 1,043.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.75 : 668 = 668 : x
  2. Step 2: Convert to fraction form
    427.75/668 = 668/x
  3. Step 3: Cross multiply
    427.75x = 668 × 668
  4. Step 4: Simplify right side
    427.75x = 446,224
  5. Step 5: Solve for x
    x = 446,224/427.75
  6. Step 6: Final answer
    x = 1,043.19

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.