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Finding the Third Proportional to 559.41 and 1,242.14

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Solution

The third proportional to 559.41 and 1,242.14 is: 2,758.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.41 : 1,242.14 = 1,242.14 : x
  2. Step 2: Convert to fraction form
    559.41/1,242.14 = 1,242.14/x
  3. Step 3: Cross multiply
    559.41x = 1,242.14 × 1,242.14
  4. Step 4: Simplify right side
    559.41x = 1,542,913.33
  5. Step 5: Solve for x
    x = 1,542,913.33/559.41
  6. Step 6: Final answer
    x = 2,758.13

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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.