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Finding the Third Proportional to 404,321.63 and 613,863.56

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Solution

The third proportional to 404,321.63 and 613,863.56 is: 932,001.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,321.63 : 613,863.56 = 613,863.56 : x
  2. Step 2: Convert to fraction form
    404,321.63/613,863.56 = 613,863.56/x
  3. Step 3: Cross multiply
    404,321.63x = 613,863.56 × 613,863.56
  4. Step 4: Simplify right side
    404,321.63x = 376,828,473,365.19
  5. Step 5: Solve for x
    x = 376,828,473,365.19/404,321.63
  6. Step 6: Final answer
    x = 932,001.78

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.