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Finding the Third Proportional to 266,796 and 629,788

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Solution

The third proportional to 266,796 and 629,788 is: 1,486,652.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,796 : 629,788 = 629,788 : x
  2. Step 2: Convert to fraction form
    266,796/629,788 = 629,788/x
  3. Step 3: Cross multiply
    266,796x = 629,788 × 629,788
  4. Step 4: Simplify right side
    266,796x = 396,632,924,944
  5. Step 5: Solve for x
    x = 396,632,924,944/266,796
  6. Step 6: Final answer
    x = 1,486,652.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.