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Finding the Third Proportional to 683.44 and 1,469.39

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Solution

The third proportional to 683.44 and 1,469.39 is: 3,159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.44 : 1,469.39 = 1,469.39 : x
  2. Step 2: Convert to fraction form
    683.44/1,469.39 = 1,469.39/x
  3. Step 3: Cross multiply
    683.44x = 1,469.39 × 1,469.39
  4. Step 4: Simplify right side
    683.44x = 2,159,108.81
  5. Step 5: Solve for x
    x = 2,159,108.81/683.44
  6. Step 6: Final answer
    x = 3,159.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.