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Finding the Third Proportional to 443.94 and 672.06

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Solution

The third proportional to 443.94 and 672.06 is: 1,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.94 : 672.06 = 672.06 : x
  2. Step 2: Convert to fraction form
    443.94/672.06 = 672.06/x
  3. Step 3: Cross multiply
    443.94x = 672.06 × 672.06
  4. Step 4: Simplify right side
    443.94x = 451,668.00
  5. Step 5: Solve for x
    x = 451,668.00/443.94
  6. Step 6: Final answer
    x = 1,017.41

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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.