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Finding the Third Proportional to 512,880 and 796,206

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Solution

The third proportional to 512,880 and 796,206 is: 1,236,047.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,880 : 796,206 = 796,206 : x
  2. Step 2: Convert to fraction form
    512,880/796,206 = 796,206/x
  3. Step 3: Cross multiply
    512,880x = 796,206 × 796,206
  4. Step 4: Simplify right side
    512,880x = 633,943,994,436
  5. Step 5: Solve for x
    x = 633,943,994,436/512,880
  6. Step 6: Final answer
    x = 1,236,047.41

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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.