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Finding the Third Proportional to 192,510 and 463,777

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Solution

The third proportional to 192,510 and 463,777 is: 1,117,287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,510 : 463,777 = 463,777 : x
  2. Step 2: Convert to fraction form
    192,510/463,777 = 463,777/x
  3. Step 3: Cross multiply
    192,510x = 463,777 × 463,777
  4. Step 4: Simplify right side
    192,510x = 215,089,105,729
  5. Step 5: Solve for x
    x = 215,089,105,729/192,510
  6. Step 6: Final answer
    x = 1,117,287.96

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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.