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Finding the Third Proportional to 213,401 and 446,531

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Solution

The third proportional to 213,401 and 446,531 is: 934,343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,401 : 446,531 = 446,531 : x
  2. Step 2: Convert to fraction form
    213,401/446,531 = 446,531/x
  3. Step 3: Cross multiply
    213,401x = 446,531 × 446,531
  4. Step 4: Simplify right side
    213,401x = 199,389,933,961
  5. Step 5: Solve for x
    x = 199,389,933,961/213,401
  6. Step 6: Final answer
    x = 934,343.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.