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Finding the Third Proportional to 203,948 and 446,425

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Solution

The third proportional to 203,948 and 446,425 is: 977,186.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,948 : 446,425 = 446,425 : x
  2. Step 2: Convert to fraction form
    203,948/446,425 = 446,425/x
  3. Step 3: Cross multiply
    203,948x = 446,425 × 446,425
  4. Step 4: Simplify right side
    203,948x = 199,295,280,625
  5. Step 5: Solve for x
    x = 199,295,280,625/203,948
  6. Step 6: Final answer
    x = 977,186.74

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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.