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Finding the Third Proportional to 325 and 474.50

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Solution

The third proportional to 325 and 474.50 is: 692.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    325 : 474.50 = 474.50 : x
  2. Step 2: Convert to fraction form
    325/474.50 = 474.50/x
  3. Step 3: Cross multiply
    325x = 474.50 × 474.50
  4. Step 4: Simplify right side
    325x = 225,150.25
  5. Step 5: Solve for x
    x = 225,150.25/325
  6. Step 6: Final answer
    x = 692.77

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.