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Finding the Third Proportional to 563.63 and 863.44

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Solution

The third proportional to 563.63 and 863.44 is: 1,322.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.63 : 863.44 = 863.44 : x
  2. Step 2: Convert to fraction form
    563.63/863.44 = 863.44/x
  3. Step 3: Cross multiply
    563.63x = 863.44 × 863.44
  4. Step 4: Simplify right side
    563.63x = 745,524.32
  5. Step 5: Solve for x
    x = 745,524.32/563.63
  6. Step 6: Final answer
    x = 1,322.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.