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Finding the Third Proportional to 591.66 and 827.47

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Solution

The third proportional to 591.66 and 827.47 is: 1,157.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.66 : 827.47 = 827.47 : x
  2. Step 2: Convert to fraction form
    591.66/827.47 = 827.47/x
  3. Step 3: Cross multiply
    591.66x = 827.47 × 827.47
  4. Step 4: Simplify right side
    591.66x = 684,704.53
  5. Step 5: Solve for x
    x = 684,704.53/591.66
  6. Step 6: Final answer
    x = 1,157.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.