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Finding the Third Proportional to 401,150.81 and 881,028.56

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Solution

The third proportional to 401,150.81 and 881,028.56 is: 1,934,961.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,150.81 : 881,028.56 = 881,028.56 : x
  2. Step 2: Convert to fraction form
    401,150.81/881,028.56 = 881,028.56/x
  3. Step 3: Cross multiply
    401,150.81x = 881,028.56 × 881,028.56
  4. Step 4: Simplify right side
    401,150.81x = 776,211,327,940.82
  5. Step 5: Solve for x
    x = 776,211,327,940.82/401,150.81
  6. Step 6: Final answer
    x = 1,934,961.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.