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Finding the Third Proportional to 192,591 and 463,936.50

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Solution

The third proportional to 192,591 and 463,936.50 is: 1,117,586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,591 : 463,936.50 = 463,936.50 : x
  2. Step 2: Convert to fraction form
    192,591/463,936.50 = 463,936.50/x
  3. Step 3: Cross multiply
    192,591x = 463,936.50 × 463,936.50
  4. Step 4: Simplify right side
    192,591x = 215,237,076,032.25
  5. Step 5: Solve for x
    x = 215,237,076,032.25/192,591
  6. Step 6: Final answer
    x = 1,117,586.37

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.