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Finding the Third Proportional to 382 and 591.50

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Solution

The third proportional to 382 and 591.50 is: 915.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382 : 591.50 = 591.50 : x
  2. Step 2: Convert to fraction form
    382/591.50 = 591.50/x
  3. Step 3: Cross multiply
    382x = 591.50 × 591.50
  4. Step 4: Simplify right side
    382x = 349,872.25
  5. Step 5: Solve for x
    x = 349,872.25/382
  6. Step 6: Final answer
    x = 915.90

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