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Finding the Third Proportional to 330,274.13 and 717,936.75

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Solution

The third proportional to 330,274.13 and 717,936.75 is: 1,560,622.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,274.13 : 717,936.75 = 717,936.75 : x
  2. Step 2: Convert to fraction form
    330,274.13/717,936.75 = 717,936.75/x
  3. Step 3: Cross multiply
    330,274.13x = 717,936.75 × 717,936.75
  4. Step 4: Simplify right side
    330,274.13x = 515,433,177,000.56
  5. Step 5: Solve for x
    x = 515,433,177,000.56/330,274.13
  6. Step 6: Final answer
    x = 1,560,622.34

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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.