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Finding the Third Proportional to 400,761 and 574,067.25

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Solution

The third proportional to 400,761 and 574,067.25 is: 822,318.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,761 : 574,067.25 = 574,067.25 : x
  2. Step 2: Convert to fraction form
    400,761/574,067.25 = 574,067.25/x
  3. Step 3: Cross multiply
    400,761x = 574,067.25 × 574,067.25
  4. Step 4: Simplify right side
    400,761x = 329,553,207,522.56
  5. Step 5: Solve for x
    x = 329,553,207,522.56/400,761
  6. Step 6: Final answer
    x = 822,318.56

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.