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Finding the Third Proportional to 321,180.75 and 697,704.75

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Solution

The third proportional to 321,180.75 and 697,704.75 is: 1,515,632.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,180.75 : 697,704.75 = 697,704.75 : x
  2. Step 2: Convert to fraction form
    321,180.75/697,704.75 = 697,704.75/x
  3. Step 3: Cross multiply
    321,180.75x = 697,704.75 × 697,704.75
  4. Step 4: Simplify right side
    321,180.75x = 486,791,918,172.56
  5. Step 5: Solve for x
    x = 486,791,918,172.56/321,180.75
  6. Step 6: Final answer
    x = 1,515,632.30

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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.