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Finding the Third Proportional to 609.40 and 1,412.44

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Solution

The third proportional to 609.40 and 1,412.44 is: 3,273.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.40 : 1,412.44 = 1,412.44 : x
  2. Step 2: Convert to fraction form
    609.40/1,412.44 = 1,412.44/x
  3. Step 3: Cross multiply
    609.40x = 1,412.44 × 1,412.44
  4. Step 4: Simplify right side
    609.40x = 1,994,979.69
  5. Step 5: Solve for x
    x = 1,994,979.69/609.40
  6. Step 6: Final answer
    x = 3,273.69

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.