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Finding the Third Proportional to 277.73 and 406.48

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Solution

The third proportional to 277.73 and 406.48 is: 594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.73 : 406.48 = 406.48 : x
  2. Step 2: Convert to fraction form
    277.73/406.48 = 406.48/x
  3. Step 3: Cross multiply
    277.73x = 406.48 × 406.48
  4. Step 4: Simplify right side
    277.73x = 165,223.20
  5. Step 5: Solve for x
    x = 165,223.20/277.73
  6. Step 6: Final answer
    x = 594.90

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