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Finding the Third Proportional to 272,571 and 636,675

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Solution

The third proportional to 272,571 and 636,675 is: 1,487,154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,571 : 636,675 = 636,675 : x
  2. Step 2: Convert to fraction form
    272,571/636,675 = 636,675/x
  3. Step 3: Cross multiply
    272,571x = 636,675 × 636,675
  4. Step 4: Simplify right side
    272,571x = 405,355,055,625
  5. Step 5: Solve for x
    x = 405,355,055,625/272,571
  6. Step 6: Final answer
    x = 1,487,154.01

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.