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Finding the Third Proportional to 347,171 and 541,054

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Solution

The third proportional to 347,171 and 541,054 is: 843,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,171 : 541,054 = 541,054 : x
  2. Step 2: Convert to fraction form
    347,171/541,054 = 541,054/x
  3. Step 3: Cross multiply
    347,171x = 541,054 × 541,054
  4. Step 4: Simplify right side
    347,171x = 292,739,430,916
  5. Step 5: Solve for x
    x = 292,739,430,916/347,171
  6. Step 6: Final answer
    x = 843,213.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.