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Finding the Third Proportional to 276,783 and 451,956

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Solution

The third proportional to 276,783 and 451,956 is: 737,994.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,783 : 451,956 = 451,956 : x
  2. Step 2: Convert to fraction form
    276,783/451,956 = 451,956/x
  3. Step 3: Cross multiply
    276,783x = 451,956 × 451,956
  4. Step 4: Simplify right side
    276,783x = 204,264,225,936
  5. Step 5: Solve for x
    x = 204,264,225,936/276,783
  6. Step 6: Final answer
    x = 737,994.12

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.