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Finding the Third Proportional to 606.19 and 1,311.06

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Solution

The third proportional to 606.19 and 1,311.06 is: 2,835.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.19 : 1,311.06 = 1,311.06 : x
  2. Step 2: Convert to fraction form
    606.19/1,311.06 = 1,311.06/x
  3. Step 3: Cross multiply
    606.19x = 1,311.06 × 1,311.06
  4. Step 4: Simplify right side
    606.19x = 1,718,884.88
  5. Step 5: Solve for x
    x = 1,718,884.88/606.19
  6. Step 6: Final answer
    x = 2,835.57

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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.