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Finding the Third Proportional to 401,145.75 and 881,013.38

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Solution

The third proportional to 401,145.75 and 881,013.38 is: 1,934,919.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,145.75 : 881,013.38 = 881,013.38 : x
  2. Step 2: Convert to fraction form
    401,145.75/881,013.38 = 881,013.38/x
  3. Step 3: Cross multiply
    401,145.75x = 881,013.38 × 881,013.38
  4. Step 4: Simplify right side
    401,145.75x = 776,184,566,928.89
  5. Step 5: Solve for x
    x = 776,184,566,928.89/401,145.75
  6. Step 6: Final answer
    x = 1,934,919.08

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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.