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Finding the Third Proportional to 300.38 and 439.69

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Solution

The third proportional to 300.38 and 439.69 is: 643.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.38 : 439.69 = 439.69 : x
  2. Step 2: Convert to fraction form
    300.38/439.69 = 439.69/x
  3. Step 3: Cross multiply
    300.38x = 439.69 × 439.69
  4. Step 4: Simplify right side
    300.38x = 193,325.10
  5. Step 5: Solve for x
    x = 193,325.10/300.38
  6. Step 6: Final answer
    x = 643.61

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.