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Finding the Third Proportional to 403.75 and 967.38

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Solution

The third proportional to 403.75 and 967.38 is: 2,317.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.75 : 967.38 = 967.38 : x
  2. Step 2: Convert to fraction form
    403.75/967.38 = 967.38/x
  3. Step 3: Cross multiply
    403.75x = 967.38 × 967.38
  4. Step 4: Simplify right side
    403.75x = 935,814.39
  5. Step 5: Solve for x
    x = 935,814.39/403.75
  6. Step 6: Final answer
    x = 2,317.81

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.