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Finding the Third Proportional to 213,956 and 460,096

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Solution

The third proportional to 213,956 and 460,096 is: 989,401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,956 : 460,096 = 460,096 : x
  2. Step 2: Convert to fraction form
    213,956/460,096 = 460,096/x
  3. Step 3: Cross multiply
    213,956x = 460,096 × 460,096
  4. Step 4: Simplify right side
    213,956x = 211,688,329,216
  5. Step 5: Solve for x
    x = 211,688,329,216/213,956
  6. Step 6: Final answer
    x = 989,401.23

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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.