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Finding the Third Proportional to 236,444 and 518,824

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Solution

The third proportional to 236,444 and 518,824 is: 1,138,444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,444 : 518,824 = 518,824 : x
  2. Step 2: Convert to fraction form
    236,444/518,824 = 518,824/x
  3. Step 3: Cross multiply
    236,444x = 518,824 × 518,824
  4. Step 4: Simplify right side
    236,444x = 269,178,342,976
  5. Step 5: Solve for x
    x = 269,178,342,976/236,444
  6. Step 6: Final answer
    x = 1,138,444.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.