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Finding the Third Proportional to 208,948 and 449,324

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Solution

The third proportional to 208,948 and 449,324 is: 966,231.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,948 : 449,324 = 449,324 : x
  2. Step 2: Convert to fraction form
    208,948/449,324 = 449,324/x
  3. Step 3: Cross multiply
    208,948x = 449,324 × 449,324
  4. Step 4: Simplify right side
    208,948x = 201,892,056,976
  5. Step 5: Solve for x
    x = 201,892,056,976/208,948
  6. Step 6: Final answer
    x = 966,231.11

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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.