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Finding the Third Proportional to 674.44 and 1,653.19

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Solution

The third proportional to 674.44 and 1,653.19 is: 4,052.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.44 : 1,653.19 = 1,653.19 : x
  2. Step 2: Convert to fraction form
    674.44/1,653.19 = 1,653.19/x
  3. Step 3: Cross multiply
    674.44x = 1,653.19 × 1,653.19
  4. Step 4: Simplify right side
    674.44x = 2,733,028.91
  5. Step 5: Solve for x
    x = 2,733,028.91/674.44
  6. Step 6: Final answer
    x = 4,052.31

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.