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Finding the Third Proportional to 327,822.75 and 713,328.75

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Solution

The third proportional to 327,822.75 and 713,328.75 is: 1,552,173.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,822.75 : 713,328.75 = 713,328.75 : x
  2. Step 2: Convert to fraction form
    327,822.75/713,328.75 = 713,328.75/x
  3. Step 3: Cross multiply
    327,822.75x = 713,328.75 × 713,328.75
  4. Step 4: Simplify right side
    327,822.75x = 508,837,905,576.56
  5. Step 5: Solve for x
    x = 508,837,905,576.56/327,822.75
  6. Step 6: Final answer
    x = 1,552,173.87

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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.