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Finding the Third Proportional to 649.69 and 1,450.69

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Solution

The third proportional to 649.69 and 1,450.69 is: 3,239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.69 : 1,450.69 = 1,450.69 : x
  2. Step 2: Convert to fraction form
    649.69/1,450.69 = 1,450.69/x
  3. Step 3: Cross multiply
    649.69x = 1,450.69 × 1,450.69
  4. Step 4: Simplify right side
    649.69x = 2,104,494.22
  5. Step 5: Solve for x
    x = 2,104,494.22/649.69
  6. Step 6: Final answer
    x = 3,239.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.