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Finding the Third Proportional to 482,906.25 and 768,687.75

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Solution

The third proportional to 482,906.25 and 768,687.75 is: 1,223,593.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,906.25 : 768,687.75 = 768,687.75 : x
  2. Step 2: Convert to fraction form
    482,906.25/768,687.75 = 768,687.75/x
  3. Step 3: Cross multiply
    482,906.25x = 768,687.75 × 768,687.75
  4. Step 4: Simplify right side
    482,906.25x = 590,880,857,000.06
  5. Step 5: Solve for x
    x = 590,880,857,000.06/482,906.25
  6. Step 6: Final answer
    x = 1,223,593.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.