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Finding the Third Proportional to 347,544 and 757,296

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Solution

The third proportional to 347,544 and 757,296 is: 1,650,142.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,544 : 757,296 = 757,296 : x
  2. Step 2: Convert to fraction form
    347,544/757,296 = 757,296/x
  3. Step 3: Cross multiply
    347,544x = 757,296 × 757,296
  4. Step 4: Simplify right side
    347,544x = 573,497,231,616
  5. Step 5: Solve for x
    x = 573,497,231,616/347,544
  6. Step 6: Final answer
    x = 1,650,142.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.