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Finding the Third Proportional to 505.94 and 600.44

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Solution

The third proportional to 505.94 and 600.44 is: 712.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.94 : 600.44 = 600.44 : x
  2. Step 2: Convert to fraction form
    505.94/600.44 = 600.44/x
  3. Step 3: Cross multiply
    505.94x = 600.44 × 600.44
  4. Step 4: Simplify right side
    505.94x = 360,525.19
  5. Step 5: Solve for x
    x = 360,525.19/505.94
  6. Step 6: Final answer
    x = 712.59

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.