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Finding the Third Proportional to 344.44 and 465.28

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Solution

The third proportional to 344.44 and 465.28 is: 628.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.44 : 465.28 = 465.28 : x
  2. Step 2: Convert to fraction form
    344.44/465.28 = 465.28/x
  3. Step 3: Cross multiply
    344.44x = 465.28 × 465.28
  4. Step 4: Simplify right side
    344.44x = 216,486.64
  5. Step 5: Solve for x
    x = 216,486.64/344.44
  6. Step 6: Final answer
    x = 628.52

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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.