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Finding the Third Proportional to 444,534 and 635,229

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Solution

The third proportional to 444,534 and 635,229 is: 907,727.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,534 : 635,229 = 635,229 : x
  2. Step 2: Convert to fraction form
    444,534/635,229 = 635,229/x
  3. Step 3: Cross multiply
    444,534x = 635,229 × 635,229
  4. Step 4: Simplify right side
    444,534x = 403,515,882,441
  5. Step 5: Solve for x
    x = 403,515,882,441/444,534
  6. Step 6: Final answer
    x = 907,727.83

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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.