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Finding the Third Proportional to 469.55 and 863.79

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Solution

The third proportional to 469.55 and 863.79 is: 1,589.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.55 : 863.79 = 863.79 : x
  2. Step 2: Convert to fraction form
    469.55/863.79 = 863.79/x
  3. Step 3: Cross multiply
    469.55x = 863.79 × 863.79
  4. Step 4: Simplify right side
    469.55x = 746,131.54
  5. Step 5: Solve for x
    x = 746,131.54/469.55
  6. Step 6: Final answer
    x = 1,589.05

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.