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Finding the Third Proportional to 272.44 and 593.06

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Solution

The third proportional to 272.44 and 593.06 is: 1,291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.44 : 593.06 = 593.06 : x
  2. Step 2: Convert to fraction form
    272.44/593.06 = 593.06/x
  3. Step 3: Cross multiply
    272.44x = 593.06 × 593.06
  4. Step 4: Simplify right side
    272.44x = 351,723.13
  5. Step 5: Solve for x
    x = 351,723.13/272.44
  6. Step 6: Final answer
    x = 1,291.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.