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Finding the Third Proportional to 376.37 and 459.66

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Solution

The third proportional to 376.37 and 459.66 is: 561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.37 : 459.66 = 459.66 : x
  2. Step 2: Convert to fraction form
    376.37/459.66 = 459.66/x
  3. Step 3: Cross multiply
    376.37x = 459.66 × 459.66
  4. Step 4: Simplify right side
    376.37x = 211,286.56
  5. Step 5: Solve for x
    x = 211,286.56/376.37
  6. Step 6: Final answer
    x = 561.39

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.