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Finding the Third Proportional to 213,399.56 and 446,401.13

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Solution

The third proportional to 213,399.56 and 446,401.13 is: 933,806.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,399.56 : 446,401.13 = 446,401.13 : x
  2. Step 2: Convert to fraction form
    213,399.56/446,401.13 = 446,401.13/x
  3. Step 3: Cross multiply
    213,399.56x = 446,401.13 × 446,401.13
  4. Step 4: Simplify right side
    213,399.56x = 199,273,964,401.27
  5. Step 5: Solve for x
    x = 199,273,964,401.27/213,399.56
  6. Step 6: Final answer
    x = 933,806.81

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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.