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Finding the Third Proportional to 272,493 and 636,462

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Solution

The third proportional to 272,493 and 636,462 is: 1,486,584.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,493 : 636,462 = 636,462 : x
  2. Step 2: Convert to fraction form
    272,493/636,462 = 636,462/x
  3. Step 3: Cross multiply
    272,493x = 636,462 × 636,462
  4. Step 4: Simplify right side
    272,493x = 405,083,877,444
  5. Step 5: Solve for x
    x = 405,083,877,444/272,493
  6. Step 6: Final answer
    x = 1,486,584.53

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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.