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Finding the Third Proportional to 236,566.91 and 518,933.86

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Solution

The third proportional to 236,566.91 and 518,933.86 is: 1,138,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,566.91 : 518,933.86 = 518,933.86 : x
  2. Step 2: Convert to fraction form
    236,566.91/518,933.86 = 518,933.86/x
  3. Step 3: Cross multiply
    236,566.91x = 518,933.86 × 518,933.86
  4. Step 4: Simplify right side
    236,566.91x = 269,292,347,365.19
  5. Step 5: Solve for x
    x = 269,292,347,365.19/236,566.91
  6. Step 6: Final answer
    x = 1,138,334.82

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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.