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Finding the Third Proportional to 347,739 and 733,356

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Solution

The third proportional to 347,739 and 733,356 is: 1,546,593.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,739 : 733,356 = 733,356 : x
  2. Step 2: Convert to fraction form
    347,739/733,356 = 733,356/x
  3. Step 3: Cross multiply
    347,739x = 733,356 × 733,356
  4. Step 4: Simplify right side
    347,739x = 537,811,022,736
  5. Step 5: Solve for x
    x = 537,811,022,736/347,739
  6. Step 6: Final answer
    x = 1,546,593.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.