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Finding the Third Proportional to 382 and 599.50

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Solution

The third proportional to 382 and 599.50 is: 940.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    382 : 599.50 = 599.50 : x
  2. Step 2: Convert to fraction form
    382/599.50 = 599.50/x
  3. Step 3: Cross multiply
    382x = 599.50 × 599.50
  4. Step 4: Simplify right side
    382x = 359,400.25
  5. Step 5: Solve for x
    x = 359,400.25/382
  6. Step 6: Final answer
    x = 940.84

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.