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Finding the Third Proportional to 236,472 and 518,933

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Solution

The third proportional to 236,472 and 518,933 is: 1,138,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,472 : 518,933 = 518,933 : x
  2. Step 2: Convert to fraction form
    236,472/518,933 = 518,933/x
  3. Step 3: Cross multiply
    236,472x = 518,933 × 518,933
  4. Step 4: Simplify right side
    236,472x = 269,291,458,489
  5. Step 5: Solve for x
    x = 269,291,458,489/236,472
  6. Step 6: Final answer
    x = 1,138,787.93

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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.