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Finding the Third Proportional to 208,644 and 449,683

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Solution

The third proportional to 208,644 and 449,683 is: 969,185.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,644 : 449,683 = 449,683 : x
  2. Step 2: Convert to fraction form
    208,644/449,683 = 449,683/x
  3. Step 3: Cross multiply
    208,644x = 449,683 × 449,683
  4. Step 4: Simplify right side
    208,644x = 202,214,800,489
  5. Step 5: Solve for x
    x = 202,214,800,489/208,644
  6. Step 6: Final answer
    x = 969,185.79

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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.