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Finding the Third Proportional to 327,769.75 and 713,221.50

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Solution

The third proportional to 327,769.75 and 713,221.50 is: 1,551,958.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,769.75 : 713,221.50 = 713,221.50 : x
  2. Step 2: Convert to fraction form
    327,769.75/713,221.50 = 713,221.50/x
  3. Step 3: Cross multiply
    327,769.75x = 713,221.50 × 713,221.50
  4. Step 4: Simplify right side
    327,769.75x = 508,684,908,062.25
  5. Step 5: Solve for x
    x = 508,684,908,062.25/327,769.75
  6. Step 6: Final answer
    x = 1,551,958.07

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Why These Related Problems?

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