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Finding the Third Proportional to 236,471 and 518,930

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Solution

The third proportional to 236,471 and 518,930 is: 1,138,779.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,471 : 518,930 = 518,930 : x
  2. Step 2: Convert to fraction form
    236,471/518,930 = 518,930/x
  3. Step 3: Cross multiply
    236,471x = 518,930 × 518,930
  4. Step 4: Simplify right side
    236,471x = 269,288,344,900
  5. Step 5: Solve for x
    x = 269,288,344,900/236,471
  6. Step 6: Final answer
    x = 1,138,779.58

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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.