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Finding the Third Proportional to 559.03 and 1,203.66

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Solution

The third proportional to 559.03 and 1,203.66 is: 2,591.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.03 : 1,203.66 = 1,203.66 : x
  2. Step 2: Convert to fraction form
    559.03/1,203.66 = 1,203.66/x
  3. Step 3: Cross multiply
    559.03x = 1,203.66 × 1,203.66
  4. Step 4: Simplify right side
    559.03x = 1,448,788.37
  5. Step 5: Solve for x
    x = 1,448,788.37/559.03
  6. Step 6: Final answer
    x = 2,591.61

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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.