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Finding the Third Proportional to 274.08 and 593.72

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Solution

The third proportional to 274.08 and 593.72 is: 1,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.08 : 593.72 = 593.72 : x
  2. Step 2: Convert to fraction form
    274.08/593.72 = 593.72/x
  3. Step 3: Cross multiply
    274.08x = 593.72 × 593.72
  4. Step 4: Simplify right side
    274.08x = 352,501.95
  5. Step 5: Solve for x
    x = 352,501.95/274.08
  6. Step 6: Final answer
    x = 1,286.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.