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Finding the Third Proportional to 406.32 and 886.33

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Solution

The third proportional to 406.32 and 886.33 is: 1,933.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.32 : 886.33 = 886.33 : x
  2. Step 2: Convert to fraction form
    406.32/886.33 = 886.33/x
  3. Step 3: Cross multiply
    406.32x = 886.33 × 886.33
  4. Step 4: Simplify right side
    406.32x = 785,586.20
  5. Step 5: Solve for x
    x = 785,586.20/406.32
  6. Step 6: Final answer
    x = 1,933.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.