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Finding the Third Proportional to 445,982 and 635,757

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Solution

The third proportional to 445,982 and 635,757 is: 906,285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,982 : 635,757 = 635,757 : x
  2. Step 2: Convert to fraction form
    445,982/635,757 = 635,757/x
  3. Step 3: Cross multiply
    445,982x = 635,757 × 635,757
  4. Step 4: Simplify right side
    445,982x = 404,186,963,049
  5. Step 5: Solve for x
    x = 404,186,963,049/445,982
  6. Step 6: Final answer
    x = 906,285.37

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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.