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Finding the Third Proportional to 283,224 and 617,976

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Solution

The third proportional to 283,224 and 617,976 is: 1,348,382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,224 : 617,976 = 617,976 : x
  2. Step 2: Convert to fraction form
    283,224/617,976 = 617,976/x
  3. Step 3: Cross multiply
    283,224x = 617,976 × 617,976
  4. Step 4: Simplify right side
    283,224x = 381,894,336,576
  5. Step 5: Solve for x
    x = 381,894,336,576/283,224
  6. Step 6: Final answer
    x = 1,348,382.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.