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Finding the Third Proportional to 444,532 and 635,226

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Solution

The third proportional to 444,532 and 635,226 is: 907,723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,532 : 635,226 = 635,226 : x
  2. Step 2: Convert to fraction form
    444,532/635,226 = 635,226/x
  3. Step 3: Cross multiply
    444,532x = 635,226 × 635,226
  4. Step 4: Simplify right side
    444,532x = 403,512,071,076
  5. Step 5: Solve for x
    x = 403,512,071,076/444,532
  6. Step 6: Final answer
    x = 907,723.34

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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.