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Finding the Third Proportional to 207,837 and 447,729

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Solution

The third proportional to 207,837 and 447,729 is: 964,511.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,837 : 447,729 = 447,729 : x
  2. Step 2: Convert to fraction form
    207,837/447,729 = 447,729/x
  3. Step 3: Cross multiply
    207,837x = 447,729 × 447,729
  4. Step 4: Simplify right side
    207,837x = 200,461,257,441
  5. Step 5: Solve for x
    x = 200,461,257,441/207,837
  6. Step 6: Final answer
    x = 964,511.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.