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Finding the Third Proportional to 291,378.94 and 443,144.25

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Solution

The third proportional to 291,378.94 and 443,144.25 is: 673,956.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,378.94 : 443,144.25 = 443,144.25 : x
  2. Step 2: Convert to fraction form
    291,378.94/443,144.25 = 443,144.25/x
  3. Step 3: Cross multiply
    291,378.94x = 443,144.25 × 443,144.25
  4. Step 4: Simplify right side
    291,378.94x = 196,376,826,308.06
  5. Step 5: Solve for x
    x = 196,376,826,308.06/291,378.94
  6. Step 6: Final answer
    x = 673,956.83

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.