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Finding the Third Proportional to 609.47 and 1,314.84

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Solution

The third proportional to 609.47 and 1,314.84 is: 2,836.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.47 : 1,314.84 = 1,314.84 : x
  2. Step 2: Convert to fraction form
    609.47/1,314.84 = 1,314.84/x
  3. Step 3: Cross multiply
    609.47x = 1,314.84 × 1,314.84
  4. Step 4: Simplify right side
    609.47x = 1,728,814.09
  5. Step 5: Solve for x
    x = 1,728,814.09/609.47
  6. Step 6: Final answer
    x = 2,836.59

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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.