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Finding the Third Proportional to 512,848 and 796,152

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Solution

The third proportional to 512,848 and 796,152 is: 1,235,956.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,848 : 796,152 = 796,152 : x
  2. Step 2: Convert to fraction form
    512,848/796,152 = 796,152/x
  3. Step 3: Cross multiply
    512,848x = 796,152 × 796,152
  4. Step 4: Simplify right side
    512,848x = 633,858,007,104
  5. Step 5: Solve for x
    x = 633,858,007,104/512,848
  6. Step 6: Final answer
    x = 1,235,956.87

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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.