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Finding the Third Proportional to 209,814 and 449,077

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Solution

The third proportional to 209,814 and 449,077 is: 961,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,814 : 449,077 = 449,077 : x
  2. Step 2: Convert to fraction form
    209,814/449,077 = 449,077/x
  3. Step 3: Cross multiply
    209,814x = 449,077 × 449,077
  4. Step 4: Simplify right side
    209,814x = 201,670,151,929
  5. Step 5: Solve for x
    x = 201,670,151,929/209,814
  6. Step 6: Final answer
    x = 961,185.39

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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.