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Finding the Third Proportional to 426.94 and 675.21

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Solution

The third proportional to 426.94 and 675.21 is: 1,067.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.94 : 675.21 = 675.21 : x
  2. Step 2: Convert to fraction form
    426.94/675.21 = 675.21/x
  3. Step 3: Cross multiply
    426.94x = 675.21 × 675.21
  4. Step 4: Simplify right side
    426.94x = 455,909.81
  5. Step 5: Solve for x
    x = 455,909.81/426.94
  6. Step 6: Final answer
    x = 1,067.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.