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Finding the Third Proportional to 207,813 and 444,054

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Solution

The third proportional to 207,813 and 444,054 is: 948,852.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,813 : 444,054 = 444,054 : x
  2. Step 2: Convert to fraction form
    207,813/444,054 = 444,054/x
  3. Step 3: Cross multiply
    207,813x = 444,054 × 444,054
  4. Step 4: Simplify right side
    207,813x = 197,183,954,916
  5. Step 5: Solve for x
    x = 197,183,954,916/207,813
  6. Step 6: Final answer
    x = 948,852.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.