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Finding the Third Proportional to 329,280.19 and 496,517.34

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Solution

The third proportional to 329,280.19 and 496,517.34 is: 748,692.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,280.19 : 496,517.34 = 496,517.34 : x
  2. Step 2: Convert to fraction form
    329,280.19/496,517.34 = 496,517.34/x
  3. Step 3: Cross multiply
    329,280.19x = 496,517.34 × 496,517.34
  4. Step 4: Simplify right side
    329,280.19x = 246,529,472,644.56
  5. Step 5: Solve for x
    x = 246,529,472,644.56/329,280.19
  6. Step 6: Final answer
    x = 748,692.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.