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Finding the Third Proportional to 271,481.63 and 579,018.38

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Solution

The third proportional to 271,481.63 and 579,018.38 is: 1,234,935.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,481.63 : 579,018.38 = 579,018.38 : x
  2. Step 2: Convert to fraction form
    271,481.63/579,018.38 = 579,018.38/x
  3. Step 3: Cross multiply
    271,481.63x = 579,018.38 × 579,018.38
  4. Step 4: Simplify right side
    271,481.63x = 335,262,278,587.64
  5. Step 5: Solve for x
    x = 335,262,278,587.64/271,481.63
  6. Step 6: Final answer
    x = 1,234,935.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.