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Finding the Third Proportional to 227,414.25 and 482,555.25

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Solution

The third proportional to 227,414.25 and 482,555.25 is: 1,023,944.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,414.25 : 482,555.25 = 482,555.25 : x
  2. Step 2: Convert to fraction form
    227,414.25/482,555.25 = 482,555.25/x
  3. Step 3: Cross multiply
    227,414.25x = 482,555.25 × 482,555.25
  4. Step 4: Simplify right side
    227,414.25x = 232,859,569,302.56
  5. Step 5: Solve for x
    x = 232,859,569,302.56/227,414.25
  6. Step 6: Final answer
    x = 1,023,944.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.