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Finding the Third Proportional to 984.02 and 1,353.59

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Solution

The third proportional to 984.02 and 1,353.59 is: 1,861.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.02 : 1,353.59 = 1,353.59 : x
  2. Step 2: Convert to fraction form
    984.02/1,353.59 = 1,353.59/x
  3. Step 3: Cross multiply
    984.02x = 1,353.59 × 1,353.59
  4. Step 4: Simplify right side
    984.02x = 1,832,194.89
  5. Step 5: Solve for x
    x = 1,832,194.89/984.02
  6. Step 6: Final answer
    x = 1,861.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.