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Finding the Third Proportional to 196,538 and 461,969

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Solution

The third proportional to 196,538 and 461,969 is: 1,085,873.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,538 : 461,969 = 461,969 : x
  2. Step 2: Convert to fraction form
    196,538/461,969 = 461,969/x
  3. Step 3: Cross multiply
    196,538x = 461,969 × 461,969
  4. Step 4: Simplify right side
    196,538x = 213,415,356,961
  5. Step 5: Solve for x
    x = 213,415,356,961/196,538
  6. Step 6: Final answer
    x = 1,085,873.25

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.