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Finding the Third Proportional to 366.03 and 788.03

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Solution

The third proportional to 366.03 and 788.03 is: 1,696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.03 : 788.03 = 788.03 : x
  2. Step 2: Convert to fraction form
    366.03/788.03 = 788.03/x
  3. Step 3: Cross multiply
    366.03x = 788.03 × 788.03
  4. Step 4: Simplify right side
    366.03x = 620,993.25
  5. Step 5: Solve for x
    x = 620,993.25/366.03
  6. Step 6: Final answer
    x = 1,696.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.