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Finding the Third Proportional to 377.44 and 518.63

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Solution

The third proportional to 377.44 and 518.63 is: 712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.44 : 518.63 = 518.63 : x
  2. Step 2: Convert to fraction form
    377.44/518.63 = 518.63/x
  3. Step 3: Cross multiply
    377.44x = 518.63 × 518.63
  4. Step 4: Simplify right side
    377.44x = 268,971.89
  5. Step 5: Solve for x
    x = 268,971.89/377.44
  6. Step 6: Final answer
    x = 712.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.