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Finding the Third Proportional to 354 and 523.50

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Solution

The third proportional to 354 and 523.50 is: 774.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    354 : 523.50 = 523.50 : x
  2. Step 2: Convert to fraction form
    354/523.50 = 523.50/x
  3. Step 3: Cross multiply
    354x = 523.50 × 523.50
  4. Step 4: Simplify right side
    354x = 274,052.25
  5. Step 5: Solve for x
    x = 274,052.25/354
  6. Step 6: Final answer
    x = 774.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.