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Finding the Third Proportional to 589.69 and 863.44

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Solution

The third proportional to 589.69 and 863.44 is: 1,264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.69 : 863.44 = 863.44 : x
  2. Step 2: Convert to fraction form
    589.69/863.44 = 863.44/x
  3. Step 3: Cross multiply
    589.69x = 863.44 × 863.44
  4. Step 4: Simplify right side
    589.69x = 745,524.32
  5. Step 5: Solve for x
    x = 745,524.32/589.69
  6. Step 6: Final answer
    x = 1,264.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.