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Finding the Third Proportional to 664.03 and 927.70

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Solution

The third proportional to 664.03 and 927.70 is: 1,296.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.03 : 927.70 = 927.70 : x
  2. Step 2: Convert to fraction form
    664.03/927.70 = 927.70/x
  3. Step 3: Cross multiply
    664.03x = 927.70 × 927.70
  4. Step 4: Simplify right side
    664.03x = 860,633.09
  5. Step 5: Solve for x
    x = 860,633.09/664.03
  6. Step 6: Final answer
    x = 1,296.07

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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.