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Finding the Third Proportional to 266,592 and 629,328

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Solution

The third proportional to 266,592 and 629,328 is: 1,485,617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,592 : 629,328 = 629,328 : x
  2. Step 2: Convert to fraction form
    266,592/629,328 = 629,328/x
  3. Step 3: Cross multiply
    266,592x = 629,328 × 629,328
  4. Step 4: Simplify right side
    266,592x = 396,053,731,584
  5. Step 5: Solve for x
    x = 396,053,731,584/266,592
  6. Step 6: Final answer
    x = 1,485,617.47

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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.