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Finding the Third Proportional to 379.31 and 606.56

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Solution

The third proportional to 379.31 and 606.56 is: 969.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.31 : 606.56 = 606.56 : x
  2. Step 2: Convert to fraction form
    379.31/606.56 = 606.56/x
  3. Step 3: Cross multiply
    379.31x = 606.56 × 606.56
  4. Step 4: Simplify right side
    379.31x = 367,918.07
  5. Step 5: Solve for x
    x = 367,918.07/379.31
  6. Step 6: Final answer
    x = 969.96

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.