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Finding the Third Proportional to 457,694.75 and 996,757

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Solution

The third proportional to 457,694.75 and 996,757 is: 2,170,714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,694.75 : 996,757 = 996,757 : x
  2. Step 2: Convert to fraction form
    457,694.75/996,757 = 996,757/x
  3. Step 3: Cross multiply
    457,694.75x = 996,757 × 996,757
  4. Step 4: Simplify right side
    457,694.75x = 993,524,517,049
  5. Step 5: Solve for x
    x = 993,524,517,049/457,694.75
  6. Step 6: Final answer
    x = 2,170,714.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.