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Finding the Third Proportional to 306.44 and 795.56

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Solution

The third proportional to 306.44 and 795.56 is: 2,065.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.44 : 795.56 = 795.56 : x
  2. Step 2: Convert to fraction form
    306.44/795.56 = 795.56/x
  3. Step 3: Cross multiply
    306.44x = 795.56 × 795.56
  4. Step 4: Simplify right side
    306.44x = 632,919.69
  5. Step 5: Solve for x
    x = 632,919.69/306.44
  6. Step 6: Final answer
    x = 2,065.41

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.