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Finding the Third Proportional to 698.56 and 1,454.44

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Solution

The third proportional to 698.56 and 1,454.44 is: 3,028.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.56 : 1,454.44 = 1,454.44 : x
  2. Step 2: Convert to fraction form
    698.56/1,454.44 = 1,454.44/x
  3. Step 3: Cross multiply
    698.56x = 1,454.44 × 1,454.44
  4. Step 4: Simplify right side
    698.56x = 2,115,388.44
  5. Step 5: Solve for x
    x = 2,115,388.44/698.56
  6. Step 6: Final answer
    x = 3,028.20

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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.