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Finding the Third Proportional to 276,594.75 and 417,435.75

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Solution

The third proportional to 276,594.75 and 417,435.75 is: 629,992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,594.75 : 417,435.75 = 417,435.75 : x
  2. Step 2: Convert to fraction form
    276,594.75/417,435.75 = 417,435.75/x
  3. Step 3: Cross multiply
    276,594.75x = 417,435.75 × 417,435.75
  4. Step 4: Simplify right side
    276,594.75x = 174,252,605,378.06
  5. Step 5: Solve for x
    x = 174,252,605,378.06/276,594.75
  6. Step 6: Final answer
    x = 629,992.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.