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Finding the Third Proportional to 351,738.50 and 757,732

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Solution

The third proportional to 351,738.50 and 757,732 is: 1,632,342.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,738.50 : 757,732 = 757,732 : x
  2. Step 2: Convert to fraction form
    351,738.50/757,732 = 757,732/x
  3. Step 3: Cross multiply
    351,738.50x = 757,732 × 757,732
  4. Step 4: Simplify right side
    351,738.50x = 574,157,783,824
  5. Step 5: Solve for x
    x = 574,157,783,824/351,738.50
  6. Step 6: Final answer
    x = 1,632,342.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.