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Finding the Third Proportional to 367 and 797.50

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Solution

The third proportional to 367 and 797.50 is: 1,732.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    367 : 797.50 = 797.50 : x
  2. Step 2: Convert to fraction form
    367/797.50 = 797.50/x
  3. Step 3: Cross multiply
    367x = 797.50 × 797.50
  4. Step 4: Simplify right side
    367x = 636,006.25
  5. Step 5: Solve for x
    x = 636,006.25/367
  6. Step 6: Final answer
    x = 1,732.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.