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Finding the Third Proportional to 805.78 and 1,314.42

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Solution

The third proportional to 805.78 and 1,314.42 is: 2,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.78 : 1,314.42 = 1,314.42 : x
  2. Step 2: Convert to fraction form
    805.78/1,314.42 = 1,314.42/x
  3. Step 3: Cross multiply
    805.78x = 1,314.42 × 1,314.42
  4. Step 4: Simplify right side
    805.78x = 1,727,704.87
  5. Step 5: Solve for x
    x = 1,727,704.87/805.78
  6. Step 6: Final answer
    x = 2,144.14

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.