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Finding the Third Proportional to 272,532 and 636,563

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Solution

The third proportional to 272,532 and 636,563 is: 1,486,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,532 : 636,563 = 636,563 : x
  2. Step 2: Convert to fraction form
    272,532/636,563 = 636,563/x
  3. Step 3: Cross multiply
    272,532x = 636,563 × 636,563
  4. Step 4: Simplify right side
    272,532x = 405,212,452,969
  5. Step 5: Solve for x
    x = 405,212,452,969/272,532
  6. Step 6: Final answer
    x = 1,486,843.57

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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.