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Finding the Third Proportional to 511,896 and 796,836

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Solution

The third proportional to 511,896 and 796,836 is: 1,240,384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,896 : 796,836 = 796,836 : x
  2. Step 2: Convert to fraction form
    511,896/796,836 = 796,836/x
  3. Step 3: Cross multiply
    511,896x = 796,836 × 796,836
  4. Step 4: Simplify right side
    511,896x = 634,947,610,896
  5. Step 5: Solve for x
    x = 634,947,610,896/511,896
  6. Step 6: Final answer
    x = 1,240,384.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.