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Finding the Third Proportional to 444,380 and 635,013

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Solution

The third proportional to 444,380 and 635,013 is: 907,424.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,380 : 635,013 = 635,013 : x
  2. Step 2: Convert to fraction form
    444,380/635,013 = 635,013/x
  3. Step 3: Cross multiply
    444,380x = 635,013 × 635,013
  4. Step 4: Simplify right side
    444,380x = 403,241,510,169
  5. Step 5: Solve for x
    x = 403,241,510,169/444,380
  6. Step 6: Final answer
    x = 907,424.97

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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.