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Finding the Third Proportional to 378,757.50 and 828,781.50

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Solution

The third proportional to 378,757.50 and 828,781.50 is: 1,813,505.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,757.50 : 828,781.50 = 828,781.50 : x
  2. Step 2: Convert to fraction form
    378,757.50/828,781.50 = 828,781.50/x
  3. Step 3: Cross multiply
    378,757.50x = 828,781.50 × 828,781.50
  4. Step 4: Simplify right side
    378,757.50x = 686,878,774,742.25
  5. Step 5: Solve for x
    x = 686,878,774,742.25/378,757.50
  6. Step 6: Final answer
    x = 1,813,505.41

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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.