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Finding the Third Proportional to 378,991.13 and 821,052.75

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Solution

The third proportional to 378,991.13 and 821,052.75 is: 1,778,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,991.13 : 821,052.75 = 821,052.75 : x
  2. Step 2: Convert to fraction form
    378,991.13/821,052.75 = 821,052.75/x
  3. Step 3: Cross multiply
    378,991.13x = 821,052.75 × 821,052.75
  4. Step 4: Simplify right side
    378,991.13x = 674,127,618,282.56
  5. Step 5: Solve for x
    x = 674,127,618,282.56/378,991.13
  6. Step 6: Final answer
    x = 1,778,742.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.