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Finding the Third Proportional to 213,408 and 446,544

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Solution

The third proportional to 213,408 and 446,544 is: 934,367.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,408 : 446,544 = 446,544 : x
  2. Step 2: Convert to fraction form
    213,408/446,544 = 446,544/x
  3. Step 3: Cross multiply
    213,408x = 446,544 × 446,544
  4. Step 4: Simplify right side
    213,408x = 199,401,543,936
  5. Step 5: Solve for x
    x = 199,401,543,936/213,408
  6. Step 6: Final answer
    x = 934,367.71

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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.