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Finding the Third Proportional to 443.81 and 671.81

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Solution

The third proportional to 443.81 and 671.81 is: 1,016.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.81 : 671.81 = 671.81 : x
  2. Step 2: Convert to fraction form
    443.81/671.81 = 671.81/x
  3. Step 3: Cross multiply
    443.81x = 671.81 × 671.81
  4. Step 4: Simplify right side
    443.81x = 451,332.04
  5. Step 5: Solve for x
    x = 451,332.04/443.81
  6. Step 6: Final answer
    x = 1,016.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.