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Finding the Third Proportional to 405.50 and 541.75

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Solution

The third proportional to 405.50 and 541.75 is: 723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.50 : 541.75 = 541.75 : x
  2. Step 2: Convert to fraction form
    405.50/541.75 = 541.75/x
  3. Step 3: Cross multiply
    405.50x = 541.75 × 541.75
  4. Step 4: Simplify right side
    405.50x = 293,493.06
  5. Step 5: Solve for x
    x = 293,493.06/405.50
  6. Step 6: Final answer
    x = 723.78

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.