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Finding the Third Proportional to 350.75 and 477.38

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Solution

The third proportional to 350.75 and 477.38 is: 649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.75 : 477.38 = 477.38 : x
  2. Step 2: Convert to fraction form
    350.75/477.38 = 477.38/x
  3. Step 3: Cross multiply
    350.75x = 477.38 × 477.38
  4. Step 4: Simplify right side
    350.75x = 227,886.89
  5. Step 5: Solve for x
    x = 227,886.89/350.75
  6. Step 6: Final answer
    x = 649.71

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.