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Finding the Third Proportional to 437.81 and 942.06

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Solution

The third proportional to 437.81 and 942.06 is: 2,027.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.81 : 942.06 = 942.06 : x
  2. Step 2: Convert to fraction form
    437.81/942.06 = 942.06/x
  3. Step 3: Cross multiply
    437.81x = 942.06 × 942.06
  4. Step 4: Simplify right side
    437.81x = 887,481.75
  5. Step 5: Solve for x
    x = 887,481.75/437.81
  6. Step 6: Final answer
    x = 2,027.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.