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Finding the Third Proportional to 613.69 and 1,483.31

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Solution

The third proportional to 613.69 and 1,483.31 is: 3,585.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.69 : 1,483.31 = 1,483.31 : x
  2. Step 2: Convert to fraction form
    613.69/1,483.31 = 1,483.31/x
  3. Step 3: Cross multiply
    613.69x = 1,483.31 × 1,483.31
  4. Step 4: Simplify right side
    613.69x = 2,200,215.97
  5. Step 5: Solve for x
    x = 2,200,215.97/613.69
  6. Step 6: Final answer
    x = 3,585.24

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.