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Finding the Third Proportional to 829.97 and 1,324.69

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Solution

The third proportional to 829.97 and 1,324.69 is: 2,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.97 : 1,324.69 = 1,324.69 : x
  2. Step 2: Convert to fraction form
    829.97/1,324.69 = 1,324.69/x
  3. Step 3: Cross multiply
    829.97x = 1,324.69 × 1,324.69
  4. Step 4: Simplify right side
    829.97x = 1,754,796.97
  5. Step 5: Solve for x
    x = 1,754,796.97/829.97
  6. Step 6: Final answer
    x = 2,114.29

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.