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Finding the Third Proportional to 606.94 and 735.19

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Solution

The third proportional to 606.94 and 735.19 is: 890.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.94 : 735.19 = 735.19 : x
  2. Step 2: Convert to fraction form
    606.94/735.19 = 735.19/x
  3. Step 3: Cross multiply
    606.94x = 735.19 × 735.19
  4. Step 4: Simplify right side
    606.94x = 540,500.66
  5. Step 5: Solve for x
    x = 540,500.66/606.94
  6. Step 6: Final answer
    x = 890.54

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.