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Finding the Third Proportional to 779.44 and 1,705.69

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Solution

The third proportional to 779.44 and 1,705.69 is: 3,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.44 : 1,705.69 = 1,705.69 : x
  2. Step 2: Convert to fraction form
    779.44/1,705.69 = 1,705.69/x
  3. Step 3: Cross multiply
    779.44x = 1,705.69 × 1,705.69
  4. Step 4: Simplify right side
    779.44x = 2,909,369.85
  5. Step 5: Solve for x
    x = 2,909,369.85/779.44
  6. Step 6: Final answer
    x = 3,732.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.