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Finding the Third Proportional to 849.23 and 1,324.69

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Solution

The third proportional to 849.23 and 1,324.69 is: 2,066.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.23 : 1,324.69 = 1,324.69 : x
  2. Step 2: Convert to fraction form
    849.23/1,324.69 = 1,324.69/x
  3. Step 3: Cross multiply
    849.23x = 1,324.69 × 1,324.69
  4. Step 4: Simplify right side
    849.23x = 1,754,796.97
  5. Step 5: Solve for x
    x = 1,754,796.97/849.23
  6. Step 6: Final answer
    x = 2,066.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.