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Finding the Third Proportional to 380.50 and 436

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Solution

The third proportional to 380.50 and 436 is: 499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.50 : 436 = 436 : x
  2. Step 2: Convert to fraction form
    380.50/436 = 436/x
  3. Step 3: Cross multiply
    380.50x = 436 × 436
  4. Step 4: Simplify right side
    380.50x = 190,096
  5. Step 5: Solve for x
    x = 190,096/380.50
  6. Step 6: Final answer
    x = 499.60

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.