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Finding the Third Proportional to 236,439 and 518,865.75

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Solution

The third proportional to 236,439 and 518,865.75 is: 1,138,651.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,439 : 518,865.75 = 518,865.75 : x
  2. Step 2: Convert to fraction form
    236,439/518,865.75 = 518,865.75/x
  3. Step 3: Cross multiply
    236,439x = 518,865.75 × 518,865.75
  4. Step 4: Simplify right side
    236,439x = 269,221,666,523.06
  5. Step 5: Solve for x
    x = 269,221,666,523.06/236,439
  6. Step 6: Final answer
    x = 1,138,651.69

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