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Finding the Third Proportional to 482,996.25 and 1,048,956.75

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Solution

The third proportional to 482,996.25 and 1,048,956.75 is: 2,278,092.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,996.25 : 1,048,956.75 = 1,048,956.75 : x
  2. Step 2: Convert to fraction form
    482,996.25/1,048,956.75 = 1,048,956.75/x
  3. Step 3: Cross multiply
    482,996.25x = 1,048,956.75 × 1,048,956.75
  4. Step 4: Simplify right side
    482,996.25x = 1,100,310,263,370.56
  5. Step 5: Solve for x
    x = 1,100,310,263,370.56/482,996.25
  6. Step 6: Final answer
    x = 2,278,092.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.