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Finding the Third Proportional to 494.91 and 1,045.69

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Solution

The third proportional to 494.91 and 1,045.69 is: 2,209.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.91 : 1,045.69 = 1,045.69 : x
  2. Step 2: Convert to fraction form
    494.91/1,045.69 = 1,045.69/x
  3. Step 3: Cross multiply
    494.91x = 1,045.69 × 1,045.69
  4. Step 4: Simplify right side
    494.91x = 1,093,462.35
  5. Step 5: Solve for x
    x = 1,093,462.35/494.91
  6. Step 6: Final answer
    x = 2,209.43

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.