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Finding the Third Proportional to 415.75 and 606.44

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Solution

The third proportional to 415.75 and 606.44 is: 884.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.75 : 606.44 = 606.44 : x
  2. Step 2: Convert to fraction form
    415.75/606.44 = 606.44/x
  3. Step 3: Cross multiply
    415.75x = 606.44 × 606.44
  4. Step 4: Simplify right side
    415.75x = 367,766.44
  5. Step 5: Solve for x
    x = 367,766.44/415.75
  6. Step 6: Final answer
    x = 884.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.