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Finding the Third Proportional to 558.35 and 1,226.60

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Solution

The third proportional to 558.35 and 1,226.60 is: 2,694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.35 : 1,226.60 = 1,226.60 : x
  2. Step 2: Convert to fraction form
    558.35/1,226.60 = 1,226.60/x
  3. Step 3: Cross multiply
    558.35x = 1,226.60 × 1,226.60
  4. Step 4: Simplify right side
    558.35x = 1,504,551.39
  5. Step 5: Solve for x
    x = 1,504,551.39/558.35
  6. Step 6: Final answer
    x = 2,694.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.