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Finding the Third Proportional to 684.75 and 1,093.88

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Solution

The third proportional to 684.75 and 1,093.88 is: 1,747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.75 : 1,093.88 = 1,093.88 : x
  2. Step 2: Convert to fraction form
    684.75/1,093.88 = 1,093.88/x
  3. Step 3: Cross multiply
    684.75x = 1,093.88 × 1,093.88
  4. Step 4: Simplify right side
    684.75x = 1,196,562.52
  5. Step 5: Solve for x
    x = 1,196,562.52/684.75
  6. Step 6: Final answer
    x = 1,747.44

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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.