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Finding the Third Proportional to 266,790 and 629,772

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Solution

The third proportional to 266,790 and 629,772 is: 1,486,610.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,790 : 629,772 = 629,772 : x
  2. Step 2: Convert to fraction form
    266,790/629,772 = 629,772/x
  3. Step 3: Cross multiply
    266,790x = 629,772 × 629,772
  4. Step 4: Simplify right side
    266,790x = 396,612,771,984
  5. Step 5: Solve for x
    x = 396,612,771,984/266,790
  6. Step 6: Final answer
    x = 1,486,610.34

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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.