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Finding the Third Proportional to 327,770.25 and 713,222.63

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Solution

The third proportional to 327,770.25 and 713,222.63 is: 1,551,960.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,770.25 : 713,222.63 = 713,222.63 : x
  2. Step 2: Convert to fraction form
    327,770.25/713,222.63 = 713,222.63/x
  3. Step 3: Cross multiply
    327,770.25x = 713,222.63 × 713,222.63
  4. Step 4: Simplify right side
    327,770.25x = 508,686,512,811.89
  5. Step 5: Solve for x
    x = 508,686,512,811.89/327,770.25
  6. Step 6: Final answer
    x = 1,551,960.60

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.