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Finding the Third Proportional to 236,859.75 and 518,007.38

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Solution

The third proportional to 236,859.75 and 518,007.38 is: 1,132,871.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,859.75 : 518,007.38 = 518,007.38 : x
  2. Step 2: Convert to fraction form
    236,859.75/518,007.38 = 518,007.38/x
  3. Step 3: Cross multiply
    236,859.75x = 518,007.38 × 518,007.38
  4. Step 4: Simplify right side
    236,859.75x = 268,331,640,554.39
  5. Step 5: Solve for x
    x = 268,331,640,554.39/236,859.75
  6. Step 6: Final answer
    x = 1,132,871.42

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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.