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Finding the Third Proportional to 683.72 and 1,504.41

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Solution

The third proportional to 683.72 and 1,504.41 is: 3,310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.72 : 1,504.41 = 1,504.41 : x
  2. Step 2: Convert to fraction form
    683.72/1,504.41 = 1,504.41/x
  3. Step 3: Cross multiply
    683.72x = 1,504.41 × 1,504.41
  4. Step 4: Simplify right side
    683.72x = 2,263,238.17
  5. Step 5: Solve for x
    x = 2,263,238.17/683.72
  6. Step 6: Final answer
    x = 3,310.19

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Why These Related Problems?

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