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Finding the Third Proportional to 494.44 and 741.38

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Solution

The third proportional to 494.44 and 741.38 is: 1,111.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.44 : 741.38 = 741.38 : x
  2. Step 2: Convert to fraction form
    494.44/741.38 = 741.38/x
  3. Step 3: Cross multiply
    494.44x = 741.38 × 741.38
  4. Step 4: Simplify right side
    494.44x = 549,636.89
  5. Step 5: Solve for x
    x = 549,636.89/494.44
  6. Step 6: Final answer
    x = 1,111.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.