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Finding the Third Proportional to 366,967 and 773,831

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Solution

The third proportional to 366,967 and 773,831 is: 1,631,793.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,967 : 773,831 = 773,831 : x
  2. Step 2: Convert to fraction form
    366,967/773,831 = 773,831/x
  3. Step 3: Cross multiply
    366,967x = 773,831 × 773,831
  4. Step 4: Simplify right side
    366,967x = 598,814,416,561
  5. Step 5: Solve for x
    x = 598,814,416,561/366,967
  6. Step 6: Final answer
    x = 1,631,793.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.