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Finding the Third Proportional to 589.88 and 827.44

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Solution

The third proportional to 589.88 and 827.44 is: 1,160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.88 : 827.44 = 827.44 : x
  2. Step 2: Convert to fraction form
    589.88/827.44 = 827.44/x
  3. Step 3: Cross multiply
    589.88x = 827.44 × 827.44
  4. Step 4: Simplify right side
    589.88x = 684,652.82
  5. Step 5: Solve for x
    x = 684,652.82/589.88
  6. Step 6: Final answer
    x = 1,160.67

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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.