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Finding the Third Proportional to 213,954 and 460,092

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Solution

The third proportional to 213,954 and 460,092 is: 989,393.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,954 : 460,092 = 460,092 : x
  2. Step 2: Convert to fraction form
    213,954/460,092 = 460,092/x
  3. Step 3: Cross multiply
    213,954x = 460,092 × 460,092
  4. Step 4: Simplify right side
    213,954x = 211,684,648,464
  5. Step 5: Solve for x
    x = 211,684,648,464/213,954
  6. Step 6: Final answer
    x = 989,393.27

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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.