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Finding the Third Proportional to 334 and 447

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Solution

The third proportional to 334 and 447 is: 598.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    334 : 447 = 447 : x
  2. Step 2: Convert to fraction form
    334/447 = 447/x
  3. Step 3: Cross multiply
    334x = 447 × 447
  4. Step 4: Simplify right side
    334x = 199,809
  5. Step 5: Solve for x
    x = 199,809/334
  6. Step 6: Final answer
    x = 598.23

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.