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Finding the Third Proportional to 512,814 and 796,098

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Solution

The third proportional to 512,814 and 796,098 is: 1,235,871.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,814 : 796,098 = 796,098 : x
  2. Step 2: Convert to fraction form
    512,814/796,098 = 796,098/x
  3. Step 3: Cross multiply
    512,814x = 796,098 × 796,098
  4. Step 4: Simplify right side
    512,814x = 633,772,025,604
  5. Step 5: Solve for x
    x = 633,772,025,604/512,814
  6. Step 6: Final answer
    x = 1,235,871.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.