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Finding the Third Proportional to 236,574.42 and 518,950.55

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Solution

The third proportional to 236,574.42 and 518,950.55 is: 1,138,371.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,574.42 : 518,950.55 = 518,950.55 : x
  2. Step 2: Convert to fraction form
    236,574.42/518,950.55 = 518,950.55/x
  3. Step 3: Cross multiply
    236,574.42x = 518,950.55 × 518,950.55
  4. Step 4: Simplify right side
    236,574.42x = 269,309,670,101.86
  5. Step 5: Solve for x
    x = 269,309,670,101.86/236,574.42
  6. Step 6: Final answer
    x = 1,138,371.88

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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.