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Finding the Third Proportional to 993.94 and 1,323.84

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Solution

The third proportional to 993.94 and 1,323.84 is: 1,763.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.94 : 1,323.84 = 1,323.84 : x
  2. Step 2: Convert to fraction form
    993.94/1,323.84 = 1,323.84/x
  3. Step 3: Cross multiply
    993.94x = 1,323.84 × 1,323.84
  4. Step 4: Simplify right side
    993.94x = 1,752,562.27
  5. Step 5: Solve for x
    x = 1,752,562.27/993.94
  6. Step 6: Final answer
    x = 1,763.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.