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Finding the Third Proportional to 327,298 and 718,916

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Solution

The third proportional to 327,298 and 718,916 is: 1,579,112.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,298 : 718,916 = 718,916 : x
  2. Step 2: Convert to fraction form
    327,298/718,916 = 718,916/x
  3. Step 3: Cross multiply
    327,298x = 718,916 × 718,916
  4. Step 4: Simplify right side
    327,298x = 516,840,215,056
  5. Step 5: Solve for x
    x = 516,840,215,056/327,298
  6. Step 6: Final answer
    x = 1,579,112.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.