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Finding the Third Proportional to 446,084 and 635,907

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Solution

The third proportional to 446,084 and 635,907 is: 906,505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,084 : 635,907 = 635,907 : x
  2. Step 2: Convert to fraction form
    446,084/635,907 = 635,907/x
  3. Step 3: Cross multiply
    446,084x = 635,907 × 635,907
  4. Step 4: Simplify right side
    446,084x = 404,377,712,649
  5. Step 5: Solve for x
    x = 404,377,712,649/446,084
  6. Step 6: Final answer
    x = 906,505.75

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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.