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Finding the Third Proportional to 181,244 and 426,474

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Solution

The third proportional to 181,244 and 426,474 is: 1,003,509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,244 : 426,474 = 426,474 : x
  2. Step 2: Convert to fraction form
    181,244/426,474 = 426,474/x
  3. Step 3: Cross multiply
    181,244x = 426,474 × 426,474
  4. Step 4: Simplify right side
    181,244x = 181,880,072,676
  5. Step 5: Solve for x
    x = 181,880,072,676/181,244
  6. Step 6: Final answer
    x = 1,003,509.48

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.