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Finding the Third Proportional to 609.40 and 1,319.41

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Solution

The third proportional to 609.40 and 1,319.41 is: 2,856.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.40 : 1,319.41 = 1,319.41 : x
  2. Step 2: Convert to fraction form
    609.40/1,319.41 = 1,319.41/x
  3. Step 3: Cross multiply
    609.40x = 1,319.41 × 1,319.41
  4. Step 4: Simplify right side
    609.40x = 1,740,853.47
  5. Step 5: Solve for x
    x = 1,740,853.47/609.40
  6. Step 6: Final answer
    x = 2,856.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.