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Finding the Third Proportional to 362.94 and 416.38

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Solution

The third proportional to 362.94 and 416.38 is: 477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.94 : 416.38 = 416.38 : x
  2. Step 2: Convert to fraction form
    362.94/416.38 = 416.38/x
  3. Step 3: Cross multiply
    362.94x = 416.38 × 416.38
  4. Step 4: Simplify right side
    362.94x = 173,368.14
  5. Step 5: Solve for x
    x = 173,368.14/362.94
  6. Step 6: Final answer
    x = 477.68

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.