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Finding the Third Proportional to 614.06 and 1,323.56

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Solution

The third proportional to 614.06 and 1,323.56 is: 2,852.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.06 : 1,323.56 = 1,323.56 : x
  2. Step 2: Convert to fraction form
    614.06/1,323.56 = 1,323.56/x
  3. Step 3: Cross multiply
    614.06x = 1,323.56 × 1,323.56
  4. Step 4: Simplify right side
    614.06x = 1,751,817.69
  5. Step 5: Solve for x
    x = 1,751,817.69/614.06
  6. Step 6: Final answer
    x = 2,852.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.