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Finding the Third Proportional to 277.94 and 406.41

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Solution

The third proportional to 277.94 and 406.41 is: 594.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.94 : 406.41 = 406.41 : x
  2. Step 2: Convert to fraction form
    277.94/406.41 = 406.41/x
  3. Step 3: Cross multiply
    277.94x = 406.41 × 406.41
  4. Step 4: Simplify right side
    277.94x = 165,166.04
  5. Step 5: Solve for x
    x = 165,166.04/277.94
  6. Step 6: Final answer
    x = 594.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.