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Finding the Third Proportional to 403,917 and 633,762

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Solution

The third proportional to 403,917 and 633,762 is: 994,398.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,917 : 633,762 = 633,762 : x
  2. Step 2: Convert to fraction form
    403,917/633,762 = 633,762/x
  3. Step 3: Cross multiply
    403,917x = 633,762 × 633,762
  4. Step 4: Simplify right side
    403,917x = 401,654,272,644
  5. Step 5: Solve for x
    x = 401,654,272,644/403,917
  6. Step 6: Final answer
    x = 994,398.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.