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Finding the Third Proportional to 347,206 and 541,108

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Solution

The third proportional to 347,206 and 541,108 is: 843,297.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,206 : 541,108 = 541,108 : x
  2. Step 2: Convert to fraction form
    347,206/541,108 = 541,108/x
  3. Step 3: Cross multiply
    347,206x = 541,108 × 541,108
  4. Step 4: Simplify right side
    347,206x = 292,797,867,664
  5. Step 5: Solve for x
    x = 292,797,867,664/347,206
  6. Step 6: Final answer
    x = 843,297.26

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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.