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Finding the Third Proportional to 224,414.75 and 486,977.75

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Solution

The third proportional to 224,414.75 and 486,977.75 is: 1,056,736.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,414.75 : 486,977.75 = 486,977.75 : x
  2. Step 2: Convert to fraction form
    224,414.75/486,977.75 = 486,977.75/x
  3. Step 3: Cross multiply
    224,414.75x = 486,977.75 × 486,977.75
  4. Step 4: Simplify right side
    224,414.75x = 237,147,328,995.06
  5. Step 5: Solve for x
    x = 237,147,328,995.06/224,414.75
  6. Step 6: Final answer
    x = 1,056,736.82

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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.