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Finding the Third Proportional to 376,255.13 and 827,232.75

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Solution

The third proportional to 376,255.13 and 827,232.75 is: 1,818,750.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,255.13 : 827,232.75 = 827,232.75 : x
  2. Step 2: Convert to fraction form
    376,255.13/827,232.75 = 827,232.75/x
  3. Step 3: Cross multiply
    376,255.13x = 827,232.75 × 827,232.75
  4. Step 4: Simplify right side
    376,255.13x = 684,314,022,672.56
  5. Step 5: Solve for x
    x = 684,314,022,672.56/376,255.13
  6. Step 6: Final answer
    x = 1,818,750.04

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Why These Related Problems?

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