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Finding the Third Proportional to 272.44 and 598.22

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Solution

The third proportional to 272.44 and 598.22 is: 1,313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.44 : 598.22 = 598.22 : x
  2. Step 2: Convert to fraction form
    272.44/598.22 = 598.22/x
  3. Step 3: Cross multiply
    272.44x = 598.22 × 598.22
  4. Step 4: Simplify right side
    272.44x = 357,865.67
  5. Step 5: Solve for x
    x = 357,865.67/272.44
  6. Step 6: Final answer
    x = 1,313.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.