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Finding the Third Proportional to 203,310 and 446,004

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Solution

The third proportional to 203,310 and 446,004 is: 978,405.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,310 : 446,004 = 446,004 : x
  2. Step 2: Convert to fraction form
    203,310/446,004 = 446,004/x
  3. Step 3: Cross multiply
    203,310x = 446,004 × 446,004
  4. Step 4: Simplify right side
    203,310x = 198,919,568,016
  5. Step 5: Solve for x
    x = 198,919,568,016/203,310
  6. Step 6: Final answer
    x = 978,405.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.