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Finding the Third Proportional to 276,108.75 and 419,630.63

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Solution

The third proportional to 276,108.75 and 419,630.63 is: 637,755.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,108.75 : 419,630.63 = 419,630.63 : x
  2. Step 2: Convert to fraction form
    276,108.75/419,630.63 = 419,630.63/x
  3. Step 3: Cross multiply
    276,108.75x = 419,630.63 × 419,630.63
  4. Step 4: Simplify right side
    276,108.75x = 176,089,861,437.89
  5. Step 5: Solve for x
    x = 176,089,861,437.89/276,108.75
  6. Step 6: Final answer
    x = 637,755.45

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.