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Finding the Third Proportional to 406.88 and 854.25

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Solution

The third proportional to 406.88 and 854.25 is: 1,793.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.88 : 854.25 = 854.25 : x
  2. Step 2: Convert to fraction form
    406.88/854.25 = 854.25/x
  3. Step 3: Cross multiply
    406.88x = 854.25 × 854.25
  4. Step 4: Simplify right side
    406.88x = 729,743.06
  5. Step 5: Solve for x
    x = 729,743.06/406.88
  6. Step 6: Final answer
    x = 1,793.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.