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Finding the Third Proportional to 446,090 and 635,916

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Solution

The third proportional to 446,090 and 635,916 is: 906,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,090 : 635,916 = 635,916 : x
  2. Step 2: Convert to fraction form
    446,090/635,916 = 635,916/x
  3. Step 3: Cross multiply
    446,090x = 635,916 × 635,916
  4. Step 4: Simplify right side
    446,090x = 404,389,159,056
  5. Step 5: Solve for x
    x = 404,389,159,056/446,090
  6. Step 6: Final answer
    x = 906,519.22

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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.