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Finding the Third Proportional to 341 and 471

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Solution

The third proportional to 341 and 471 is: 650.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    341 : 471 = 471 : x
  2. Step 2: Convert to fraction form
    341/471 = 471/x
  3. Step 3: Cross multiply
    341x = 471 × 471
  4. Step 4: Simplify right side
    341x = 221,841
  5. Step 5: Solve for x
    x = 221,841/341
  6. Step 6: Final answer
    x = 650.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.