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Finding the Third Proportional to 276,783.75 and 413,727.75

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Solution

The third proportional to 276,783.75 and 413,727.75 is: 618,427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,783.75 : 413,727.75 = 413,727.75 : x
  2. Step 2: Convert to fraction form
    276,783.75/413,727.75 = 413,727.75/x
  3. Step 3: Cross multiply
    276,783.75x = 413,727.75 × 413,727.75
  4. Step 4: Simplify right side
    276,783.75x = 171,170,651,120.06
  5. Step 5: Solve for x
    x = 171,170,651,120.06/276,783.75
  6. Step 6: Final answer
    x = 618,427.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.