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Finding the Third Proportional to 315,092.11 and 691,410.09

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Solution

The third proportional to 315,092.11 and 691,410.09 is: 1,517,168.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,092.11 : 691,410.09 = 691,410.09 : x
  2. Step 2: Convert to fraction form
    315,092.11/691,410.09 = 691,410.09/x
  3. Step 3: Cross multiply
    315,092.11x = 691,410.09 × 691,410.09
  4. Step 4: Simplify right side
    315,092.11x = 478,047,917,739.38
  5. Step 5: Solve for x
    x = 478,047,917,739.38/315,092.11
  6. Step 6: Final answer
    x = 1,517,168.80

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.