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Finding the Third Proportional to 448.31 and 667.69

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Solution

The third proportional to 448.31 and 667.69 is: 994.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.31 : 667.69 = 667.69 : x
  2. Step 2: Convert to fraction form
    448.31/667.69 = 667.69/x
  3. Step 3: Cross multiply
    448.31x = 667.69 × 667.69
  4. Step 4: Simplify right side
    448.31x = 445,806.60
  5. Step 5: Solve for x
    x = 445,806.60/448.31
  6. Step 6: Final answer
    x = 994.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.