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Finding the Third Proportional to 515,977 and 796,969

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Solution

The third proportional to 515,977 and 796,969 is: 1,230,984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,977 : 796,969 = 796,969 : x
  2. Step 2: Convert to fraction form
    515,977/796,969 = 796,969/x
  3. Step 3: Cross multiply
    515,977x = 796,969 × 796,969
  4. Step 4: Simplify right side
    515,977x = 635,159,586,961
  5. Step 5: Solve for x
    x = 635,159,586,961/515,977
  6. Step 6: Final answer
    x = 1,230,984.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.