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Finding the Third Proportional to 277.31 and 405.56

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Solution

The third proportional to 277.31 and 405.56 is: 593.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.31 : 405.56 = 405.56 : x
  2. Step 2: Convert to fraction form
    277.31/405.56 = 405.56/x
  3. Step 3: Cross multiply
    277.31x = 405.56 × 405.56
  4. Step 4: Simplify right side
    277.31x = 164,480.94
  5. Step 5: Solve for x
    x = 164,480.94/277.31
  6. Step 6: Final answer
    x = 593.12

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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.