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Finding the Third Proportional to 327,267.50 and 706,172.50

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Solution

The third proportional to 327,267.50 and 706,172.50 is: 1,523,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,267.50 : 706,172.50 = 706,172.50 : x
  2. Step 2: Convert to fraction form
    327,267.50/706,172.50 = 706,172.50/x
  3. Step 3: Cross multiply
    327,267.50x = 706,172.50 × 706,172.50
  4. Step 4: Simplify right side
    327,267.50x = 498,679,599,756.25
  5. Step 5: Solve for x
    x = 498,679,599,756.25/327,267.50
  6. Step 6: Final answer
    x = 1,523,767.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.