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Finding the Third Proportional to 203,314 and 446,012

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Solution

The third proportional to 203,314 and 446,012 is: 978,421.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,314 : 446,012 = 446,012 : x
  2. Step 2: Convert to fraction form
    203,314/446,012 = 446,012/x
  3. Step 3: Cross multiply
    203,314x = 446,012 × 446,012
  4. Step 4: Simplify right side
    203,314x = 198,926,704,144
  5. Step 5: Solve for x
    x = 198,926,704,144/203,314
  6. Step 6: Final answer
    x = 978,421.08

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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.