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Finding the Third Proportional to 341.03 and 521.47

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Solution

The third proportional to 341.03 and 521.47 is: 797.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.03 : 521.47 = 521.47 : x
  2. Step 2: Convert to fraction form
    341.03/521.47 = 521.47/x
  3. Step 3: Cross multiply
    341.03x = 521.47 × 521.47
  4. Step 4: Simplify right side
    341.03x = 271,929.66
  5. Step 5: Solve for x
    x = 271,929.66/341.03
  6. Step 6: Final answer
    x = 797.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.