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Finding the Third Proportional to 475.80 and 668.11

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Solution

The third proportional to 475.80 and 668.11 is: 938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.80 : 668.11 = 668.11 : x
  2. Step 2: Convert to fraction form
    475.80/668.11 = 668.11/x
  3. Step 3: Cross multiply
    475.80x = 668.11 × 668.11
  4. Step 4: Simplify right side
    475.80x = 446,370.14
  5. Step 5: Solve for x
    x = 446,370.14/475.80
  6. Step 6: Final answer
    x = 938.14

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.