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Finding the Third Proportional to 587.09 and 825.82

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Solution

The third proportional to 587.09 and 825.82 is: 1,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.09 : 825.82 = 825.82 : x
  2. Step 2: Convert to fraction form
    587.09/825.82 = 825.82/x
  3. Step 3: Cross multiply
    587.09x = 825.82 × 825.82
  4. Step 4: Simplify right side
    587.09x = 681,979.19
  5. Step 5: Solve for x
    x = 681,979.19/587.09
  6. Step 6: Final answer
    x = 1,161.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.