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Finding the Third Proportional to 327,812 and 715,200

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Solution

The third proportional to 327,812 and 715,200 is: 1,560,379.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,812 : 715,200 = 715,200 : x
  2. Step 2: Convert to fraction form
    327,812/715,200 = 715,200/x
  3. Step 3: Cross multiply
    327,812x = 715,200 × 715,200
  4. Step 4: Simplify right side
    327,812x = 511,511,040,000
  5. Step 5: Solve for x
    x = 511,511,040,000/327,812
  6. Step 6: Final answer
    x = 1,560,379.24

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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.