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Finding the Third Proportional to 205,734 and 449,916

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Solution

The third proportional to 205,734 and 449,916 is: 983,913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,734 : 449,916 = 449,916 : x
  2. Step 2: Convert to fraction form
    205,734/449,916 = 449,916/x
  3. Step 3: Cross multiply
    205,734x = 449,916 × 449,916
  4. Step 4: Simplify right side
    205,734x = 202,424,407,056
  5. Step 5: Solve for x
    x = 202,424,407,056/205,734
  6. Step 6: Final answer
    x = 983,913.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.