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Finding the Third Proportional to 378,795.23 and 828,804.66

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Solution

The third proportional to 378,795.23 and 828,804.66 is: 1,813,426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,795.23 : 828,804.66 = 828,804.66 : x
  2. Step 2: Convert to fraction form
    378,795.23/828,804.66 = 828,804.66/x
  3. Step 3: Cross multiply
    378,795.23x = 828,804.66 × 828,804.66
  4. Step 4: Simplify right side
    378,795.23x = 686,917,158,221.68
  5. Step 5: Solve for x
    x = 686,917,158,221.68/378,795.23
  6. Step 6: Final answer
    x = 1,813,426.08

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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.