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Finding the Third Proportional to 515,644 and 796,800

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Solution

The third proportional to 515,644 and 796,800 is: 1,231,256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,644 : 796,800 = 796,800 : x
  2. Step 2: Convert to fraction form
    515,644/796,800 = 796,800/x
  3. Step 3: Cross multiply
    515,644x = 796,800 × 796,800
  4. Step 4: Simplify right side
    515,644x = 634,890,240,000
  5. Step 5: Solve for x
    x = 634,890,240,000/515,644
  6. Step 6: Final answer
    x = 1,231,256.91

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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.