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Finding the Third Proportional to 235,010.25 and 482,463

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Solution

The third proportional to 235,010.25 and 482,463 is: 990,469.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,010.25 : 482,463 = 482,463 : x
  2. Step 2: Convert to fraction form
    235,010.25/482,463 = 482,463/x
  3. Step 3: Cross multiply
    235,010.25x = 482,463 × 482,463
  4. Step 4: Simplify right side
    235,010.25x = 232,770,546,369
  5. Step 5: Solve for x
    x = 232,770,546,369/235,010.25
  6. Step 6: Final answer
    x = 990,469.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.