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Finding the Third Proportional to 994.78 and 1,694.04

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Solution

The third proportional to 994.78 and 1,694.04 is: 2,884.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.78 : 1,694.04 = 1,694.04 : x
  2. Step 2: Convert to fraction form
    994.78/1,694.04 = 1,694.04/x
  3. Step 3: Cross multiply
    994.78x = 1,694.04 × 1,694.04
  4. Step 4: Simplify right side
    994.78x = 2,869,768.35
  5. Step 5: Solve for x
    x = 2,869,768.35/994.78
  6. Step 6: Final answer
    x = 2,884.82

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.