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Finding the Third Proportional to 347,224 and 753,512

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Solution

The third proportional to 347,224 and 753,512 is: 1,635,198.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,224 : 753,512 = 753,512 : x
  2. Step 2: Convert to fraction form
    347,224/753,512 = 753,512/x
  3. Step 3: Cross multiply
    347,224x = 753,512 × 753,512
  4. Step 4: Simplify right side
    347,224x = 567,780,334,144
  5. Step 5: Solve for x
    x = 567,780,334,144/347,224
  6. Step 6: Final answer
    x = 1,635,198.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.