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Finding the Third Proportional to 255,604.75 and 378,471.75

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Solution

The third proportional to 255,604.75 and 378,471.75 is: 560,399.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,604.75 : 378,471.75 = 378,471.75 : x
  2. Step 2: Convert to fraction form
    255,604.75/378,471.75 = 378,471.75/x
  3. Step 3: Cross multiply
    255,604.75x = 378,471.75 × 378,471.75
  4. Step 4: Simplify right side
    255,604.75x = 143,240,865,548.06
  5. Step 5: Solve for x
    x = 143,240,865,548.06/255,604.75
  6. Step 6: Final answer
    x = 560,399.86

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.