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Finding the Third Proportional to 496.44 and 1,090.65

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Solution

The third proportional to 496.44 and 1,090.65 is: 2,396.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.44 : 1,090.65 = 1,090.65 : x
  2. Step 2: Convert to fraction form
    496.44/1,090.65 = 1,090.65/x
  3. Step 3: Cross multiply
    496.44x = 1,090.65 × 1,090.65
  4. Step 4: Simplify right side
    496.44x = 1,189,522.53
  5. Step 5: Solve for x
    x = 1,189,522.53/496.44
  6. Step 6: Final answer
    x = 2,396.10

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.