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Finding the Third Proportional to 272,625 and 413,843

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Solution

The third proportional to 272,625 and 413,843 is: 628,211.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,625 : 413,843 = 413,843 : x
  2. Step 2: Convert to fraction form
    272,625/413,843 = 413,843/x
  3. Step 3: Cross multiply
    272,625x = 413,843 × 413,843
  4. Step 4: Simplify right side
    272,625x = 171,266,028,649
  5. Step 5: Solve for x
    x = 171,266,028,649/272,625
  6. Step 6: Final answer
    x = 628,211.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.