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Finding the Third Proportional to 683.44 and 1,499.82

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Solution

The third proportional to 683.44 and 1,499.82 is: 3,291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.44 : 1,499.82 = 1,499.82 : x
  2. Step 2: Convert to fraction form
    683.44/1,499.82 = 1,499.82/x
  3. Step 3: Cross multiply
    683.44x = 1,499.82 × 1,499.82
  4. Step 4: Simplify right side
    683.44x = 2,249,474.88
  5. Step 5: Solve for x
    x = 2,249,474.88/683.44
  6. Step 6: Final answer
    x = 3,291.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.