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Finding the Third Proportional to 559.41 and 1,240.31

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Solution

The third proportional to 559.41 and 1,240.31 is: 2,750.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.41 : 1,240.31 = 1,240.31 : x
  2. Step 2: Convert to fraction form
    559.41/1,240.31 = 1,240.31/x
  3. Step 3: Cross multiply
    559.41x = 1,240.31 × 1,240.31
  4. Step 4: Simplify right side
    559.41x = 1,538,375.10
  5. Step 5: Solve for x
    x = 1,538,375.10/559.41
  6. Step 6: Final answer
    x = 2,750.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.