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Finding the Third Proportional to 274.64 and 596.74

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Solution

The third proportional to 274.64 and 596.74 is: 1,296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.64 : 596.74 = 596.74 : x
  2. Step 2: Convert to fraction form
    274.64/596.74 = 596.74/x
  3. Step 3: Cross multiply
    274.64x = 596.74 × 596.74
  4. Step 4: Simplify right side
    274.64x = 356,101.24
  5. Step 5: Solve for x
    x = 356,101.24/274.64
  6. Step 6: Final answer
    x = 1,296.61

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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.