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Finding the Third Proportional to 453.75 and 667.25

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Solution

The third proportional to 453.75 and 667.25 is: 981.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.75 : 667.25 = 667.25 : x
  2. Step 2: Convert to fraction form
    453.75/667.25 = 667.25/x
  3. Step 3: Cross multiply
    453.75x = 667.25 × 667.25
  4. Step 4: Simplify right side
    453.75x = 445,222.56
  5. Step 5: Solve for x
    x = 445,222.56/453.75
  6. Step 6: Final answer
    x = 981.21

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.