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Finding the Third Proportional to 494.66 and 1,046.08

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Solution

The third proportional to 494.66 and 1,046.08 is: 2,212.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.66 : 1,046.08 = 1,046.08 : x
  2. Step 2: Convert to fraction form
    494.66/1,046.08 = 1,046.08/x
  3. Step 3: Cross multiply
    494.66x = 1,046.08 × 1,046.08
  4. Step 4: Simplify right side
    494.66x = 1,094,283.05
  5. Step 5: Solve for x
    x = 1,094,283.05/494.66
  6. Step 6: Final answer
    x = 2,212.20

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Why These Related Problems?

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