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Finding the Third Proportional to 376.31 and 459.75

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Solution

The third proportional to 376.31 and 459.75 is: 561.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.31 : 459.75 = 459.75 : x
  2. Step 2: Convert to fraction form
    376.31/459.75 = 459.75/x
  3. Step 3: Cross multiply
    376.31x = 459.75 × 459.75
  4. Step 4: Simplify right side
    376.31x = 211,370.06
  5. Step 5: Solve for x
    x = 211,370.06/376.31
  6. Step 6: Final answer
    x = 561.69

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