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Finding the Third Proportional to 446,086 and 635,910

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Solution

The third proportional to 446,086 and 635,910 is: 906,510.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,086 : 635,910 = 635,910 : x
  2. Step 2: Convert to fraction form
    446,086/635,910 = 635,910/x
  3. Step 3: Cross multiply
    446,086x = 635,910 × 635,910
  4. Step 4: Simplify right side
    446,086x = 404,381,528,100
  5. Step 5: Solve for x
    x = 404,381,528,100/446,086
  6. Step 6: Final answer
    x = 906,510.24

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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.