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Finding the Third Proportional to 241,395 and 523,116

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Solution

The third proportional to 241,395 and 523,116 is: 1,133,620.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,395 : 523,116 = 523,116 : x
  2. Step 2: Convert to fraction form
    241,395/523,116 = 523,116/x
  3. Step 3: Cross multiply
    241,395x = 523,116 × 523,116
  4. Step 4: Simplify right side
    241,395x = 273,650,349,456
  5. Step 5: Solve for x
    x = 273,650,349,456/241,395
  6. Step 6: Final answer
    x = 1,133,620.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.