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Finding the Third Proportional to 264.06 and 406.44

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Solution

The third proportional to 264.06 and 406.44 is: 625.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.06 : 406.44 = 406.44 : x
  2. Step 2: Convert to fraction form
    264.06/406.44 = 406.44/x
  3. Step 3: Cross multiply
    264.06x = 406.44 × 406.44
  4. Step 4: Simplify right side
    264.06x = 165,191.44
  5. Step 5: Solve for x
    x = 165,191.44/264.06
  6. Step 6: Final answer
    x = 625.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.