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Finding the Third Proportional to 854.83 and 1,294.97

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Solution

The third proportional to 854.83 and 1,294.97 is: 1,961.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.83 : 1,294.97 = 1,294.97 : x
  2. Step 2: Convert to fraction form
    854.83/1,294.97 = 1,294.97/x
  3. Step 3: Cross multiply
    854.83x = 1,294.97 × 1,294.97
  4. Step 4: Simplify right side
    854.83x = 1,676,951.65
  5. Step 5: Solve for x
    x = 1,676,951.65/854.83
  6. Step 6: Final answer
    x = 1,961.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.