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Finding the Third Proportional to 237,112 and 421,593

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Solution

The third proportional to 237,112 and 421,593 is: 749,606.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,112 : 421,593 = 421,593 : x
  2. Step 2: Convert to fraction form
    237,112/421,593 = 421,593/x
  3. Step 3: Cross multiply
    237,112x = 421,593 × 421,593
  4. Step 4: Simplify right side
    237,112x = 177,740,657,649
  5. Step 5: Solve for x
    x = 177,740,657,649/237,112
  6. Step 6: Final answer
    x = 749,606.34

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.