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Finding the Third Proportional to 381,145.50 and 828,717.75

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Solution

The third proportional to 381,145.50 and 828,717.75 is: 1,801,865.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,145.50 : 828,717.75 = 828,717.75 : x
  2. Step 2: Convert to fraction form
    381,145.50/828,717.75 = 828,717.75/x
  3. Step 3: Cross multiply
    381,145.50x = 828,717.75 × 828,717.75
  4. Step 4: Simplify right side
    381,145.50x = 686,773,109,165.06
  5. Step 5: Solve for x
    x = 686,773,109,165.06/381,145.50
  6. Step 6: Final answer
    x = 1,801,865.98

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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.