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Finding the Third Proportional to 216,401 and 460,450

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Solution

The third proportional to 216,401 and 460,450 is: 979,728.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,401 : 460,450 = 460,450 : x
  2. Step 2: Convert to fraction form
    216,401/460,450 = 460,450/x
  3. Step 3: Cross multiply
    216,401x = 460,450 × 460,450
  4. Step 4: Simplify right side
    216,401x = 212,014,202,500
  5. Step 5: Solve for x
    x = 212,014,202,500/216,401
  6. Step 6: Final answer
    x = 979,728.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.