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Finding the Third Proportional to 382.50 and 593.16

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Solution

The third proportional to 382.50 and 593.16 is: 919.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.50 : 593.16 = 593.16 : x
  2. Step 2: Convert to fraction form
    382.50/593.16 = 593.16/x
  3. Step 3: Cross multiply
    382.50x = 593.16 × 593.16
  4. Step 4: Simplify right side
    382.50x = 351,834.34
  5. Step 5: Solve for x
    x = 351,834.34/382.50
  6. Step 6: Final answer
    x = 919.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.