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Finding the Third Proportional to 427.63 and 664.75

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Solution

The third proportional to 427.63 and 664.75 is: 1,033.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.63 : 664.75 = 664.75 : x
  2. Step 2: Convert to fraction form
    427.63/664.75 = 664.75/x
  3. Step 3: Cross multiply
    427.63x = 664.75 × 664.75
  4. Step 4: Simplify right side
    427.63x = 441,892.56
  5. Step 5: Solve for x
    x = 441,892.56/427.63
  6. Step 6: Final answer
    x = 1,033.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.