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Finding the Third Proportional to 446,100 and 635,895

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Solution

The third proportional to 446,100 and 635,895 is: 906,439.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,100 : 635,895 = 635,895 : x
  2. Step 2: Convert to fraction form
    446,100/635,895 = 635,895/x
  3. Step 3: Cross multiply
    446,100x = 635,895 × 635,895
  4. Step 4: Simplify right side
    446,100x = 404,362,451,025
  5. Step 5: Solve for x
    x = 404,362,451,025/446,100
  6. Step 6: Final answer
    x = 906,439.03

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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.