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Finding the Third Proportional to 274,180 and 635,338

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Solution

The third proportional to 274,180 and 635,338 is: 1,472,223.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,180 : 635,338 = 635,338 : x
  2. Step 2: Convert to fraction form
    274,180/635,338 = 635,338/x
  3. Step 3: Cross multiply
    274,180x = 635,338 × 635,338
  4. Step 4: Simplify right side
    274,180x = 403,654,374,244
  5. Step 5: Solve for x
    x = 403,654,374,244/274,180
  6. Step 6: Final answer
    x = 1,472,223.99

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.