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Finding the Third Proportional to 698.15 and 1,453.73

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Solution

The third proportional to 698.15 and 1,453.73 is: 3,027.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.15 : 1,453.73 = 1,453.73 : x
  2. Step 2: Convert to fraction form
    698.15/1,453.73 = 1,453.73/x
  3. Step 3: Cross multiply
    698.15x = 1,453.73 × 1,453.73
  4. Step 4: Simplify right side
    698.15x = 2,113,326.60
  5. Step 5: Solve for x
    x = 2,113,326.60/698.15
  6. Step 6: Final answer
    x = 3,027.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.