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Finding the Third Proportional to 378,660.56 and 810,524.63

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Solution

The third proportional to 378,660.56 and 810,524.63 is: 1,734,931.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,660.56 : 810,524.63 = 810,524.63 : x
  2. Step 2: Convert to fraction form
    378,660.56/810,524.63 = 810,524.63/x
  3. Step 3: Cross multiply
    378,660.56x = 810,524.63 × 810,524.63
  4. Step 4: Simplify right side
    378,660.56x = 656,950,167,731.39
  5. Step 5: Solve for x
    x = 656,950,167,731.39/378,660.56
  6. Step 6: Final answer
    x = 1,734,931.58

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.