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Finding the Third Proportional to 327,804 and 715,182

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Solution

The third proportional to 327,804 and 715,182 is: 1,560,338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,804 : 715,182 = 715,182 : x
  2. Step 2: Convert to fraction form
    327,804/715,182 = 715,182/x
  3. Step 3: Cross multiply
    327,804x = 715,182 × 715,182
  4. Step 4: Simplify right side
    327,804x = 511,485,293,124
  5. Step 5: Solve for x
    x = 511,485,293,124/327,804
  6. Step 6: Final answer
    x = 1,560,338.78

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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.