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Finding the Third Proportional to 277.91 and 598.43

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Solution

The third proportional to 277.91 and 598.43 is: 1,288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.91 : 598.43 = 598.43 : x
  2. Step 2: Convert to fraction form
    277.91/598.43 = 598.43/x
  3. Step 3: Cross multiply
    277.91x = 598.43 × 598.43
  4. Step 4: Simplify right side
    277.91x = 358,118.09
  5. Step 5: Solve for x
    x = 358,118.09/277.91
  6. Step 6: Final answer
    x = 1,288.61

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.