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Finding the Third Proportional to 593.26 and 1,242.42

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Solution

The third proportional to 593.26 and 1,242.42 is: 2,601.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.26 : 1,242.42 = 1,242.42 : x
  2. Step 2: Convert to fraction form
    593.26/1,242.42 = 1,242.42/x
  3. Step 3: Cross multiply
    593.26x = 1,242.42 × 1,242.42
  4. Step 4: Simplify right side
    593.26x = 1,543,612.12
  5. Step 5: Solve for x
    x = 1,543,612.12/593.26
  6. Step 6: Final answer
    x = 2,601.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.