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Finding the Third Proportional to 665.44 and 1,435.78

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Solution

The third proportional to 665.44 and 1,435.78 is: 3,097.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.44 : 1,435.78 = 1,435.78 : x
  2. Step 2: Convert to fraction form
    665.44/1,435.78 = 1,435.78/x
  3. Step 3: Cross multiply
    665.44x = 1,435.78 × 1,435.78
  4. Step 4: Simplify right side
    665.44x = 2,061,467.80
  5. Step 5: Solve for x
    x = 2,061,467.80/665.44
  6. Step 6: Final answer
    x = 3,097.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.