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Finding the Third Proportional to 224,745 and 482,839

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Solution

The third proportional to 224,745 and 482,839 is: 1,037,324.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,745 : 482,839 = 482,839 : x
  2. Step 2: Convert to fraction form
    224,745/482,839 = 482,839/x
  3. Step 3: Cross multiply
    224,745x = 482,839 × 482,839
  4. Step 4: Simplify right side
    224,745x = 233,133,499,921
  5. Step 5: Solve for x
    x = 233,133,499,921/224,745
  6. Step 6: Final answer
    x = 1,037,324.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.