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Finding the Third Proportional to 884.11 and 1,294.73

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Solution

The third proportional to 884.11 and 1,294.73 is: 1,896.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.11 : 1,294.73 = 1,294.73 : x
  2. Step 2: Convert to fraction form
    884.11/1,294.73 = 1,294.73/x
  3. Step 3: Cross multiply
    884.11x = 1,294.73 × 1,294.73
  4. Step 4: Simplify right side
    884.11x = 1,676,337.10
  5. Step 5: Solve for x
    x = 1,676,337.10/884.11
  6. Step 6: Final answer
    x = 1,896.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.