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Finding the Third Proportional to 207,729 and 451,914

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Solution

The third proportional to 207,729 and 451,914 is: 983,137.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,729 : 451,914 = 451,914 : x
  2. Step 2: Convert to fraction form
    207,729/451,914 = 451,914/x
  3. Step 3: Cross multiply
    207,729x = 451,914 × 451,914
  4. Step 4: Simplify right side
    207,729x = 204,226,263,396
  5. Step 5: Solve for x
    x = 204,226,263,396/207,729
  6. Step 6: Final answer
    x = 983,137.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.