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Finding the Third Proportional to 406.13 and 942.19

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Solution

The third proportional to 406.13 and 942.19 is: 2,185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.13 : 942.19 = 942.19 : x
  2. Step 2: Convert to fraction form
    406.13/942.19 = 942.19/x
  3. Step 3: Cross multiply
    406.13x = 942.19 × 942.19
  4. Step 4: Simplify right side
    406.13x = 887,717.29
  5. Step 5: Solve for x
    x = 887,717.29/406.13
  6. Step 6: Final answer
    x = 2,185.82

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.