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Finding the Third Proportional to 614.75 and 982.88

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Solution

The third proportional to 614.75 and 982.88 is: 1,571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.75 : 982.88 = 982.88 : x
  2. Step 2: Convert to fraction form
    614.75/982.88 = 982.88/x
  3. Step 3: Cross multiply
    614.75x = 982.88 × 982.88
  4. Step 4: Simplify right side
    614.75x = 966,043.27
  5. Step 5: Solve for x
    x = 966,043.27/614.75
  6. Step 6: Final answer
    x = 1,571.44

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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.