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Finding the Third Proportional to 444,549 and 635,253

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Solution

The third proportional to 444,549 and 635,253 is: 907,765.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,549 : 635,253 = 635,253 : x
  2. Step 2: Convert to fraction form
    444,549/635,253 = 635,253/x
  3. Step 3: Cross multiply
    444,549x = 635,253 × 635,253
  4. Step 4: Simplify right side
    444,549x = 403,546,374,009
  5. Step 5: Solve for x
    x = 403,546,374,009/444,549
  6. Step 6: Final answer
    x = 907,765.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.