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Finding the Third Proportional to 344.44 and 465.56

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Solution

The third proportional to 344.44 and 465.56 is: 629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.44 : 465.56 = 465.56 : x
  2. Step 2: Convert to fraction form
    344.44/465.56 = 465.56/x
  3. Step 3: Cross multiply
    344.44x = 465.56 × 465.56
  4. Step 4: Simplify right side
    344.44x = 216,748.44
  5. Step 5: Solve for x
    x = 216,748.44/344.44
  6. Step 6: Final answer
    x = 629.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.