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Finding the Third Proportional to 207,832 and 449,821

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Solution

The third proportional to 207,832 and 449,821 is: 973,569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,832 : 449,821 = 449,821 : x
  2. Step 2: Convert to fraction form
    207,832/449,821 = 449,821/x
  3. Step 3: Cross multiply
    207,832x = 449,821 × 449,821
  4. Step 4: Simplify right side
    207,832x = 202,338,932,041
  5. Step 5: Solve for x
    x = 202,338,932,041/207,832
  6. Step 6: Final answer
    x = 973,569.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.