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Finding the Third Proportional to 481.13 and 668.06

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Solution

The third proportional to 481.13 and 668.06 is: 927.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.13 : 668.06 = 668.06 : x
  2. Step 2: Convert to fraction form
    481.13/668.06 = 668.06/x
  3. Step 3: Cross multiply
    481.13x = 668.06 × 668.06
  4. Step 4: Simplify right side
    481.13x = 446,307.50
  5. Step 5: Solve for x
    x = 446,307.50/481.13
  6. Step 6: Final answer
    x = 927.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.