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Finding the Third Proportional to 327,772 and 713,225

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Solution

The third proportional to 327,772 and 713,225 is: 1,551,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,772 : 713,225 = 713,225 : x
  2. Step 2: Convert to fraction form
    327,772/713,225 = 713,225/x
  3. Step 3: Cross multiply
    327,772x = 713,225 × 713,225
  4. Step 4: Simplify right side
    327,772x = 508,689,900,625
  5. Step 5: Solve for x
    x = 508,689,900,625/327,772
  6. Step 6: Final answer
    x = 1,551,962.65

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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.