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Finding the Third Proportional to 613.63 and 1,309.94

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Solution

The third proportional to 613.63 and 1,309.94 is: 2,796.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.63 : 1,309.94 = 1,309.94 : x
  2. Step 2: Convert to fraction form
    613.63/1,309.94 = 1,309.94/x
  3. Step 3: Cross multiply
    613.63x = 1,309.94 × 1,309.94
  4. Step 4: Simplify right side
    613.63x = 1,715,936.25
  5. Step 5: Solve for x
    x = 1,715,936.25/613.63
  6. Step 6: Final answer
    x = 2,796.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.