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Finding the Third Proportional to 196,578 and 462,069

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Solution

The third proportional to 196,578 and 462,069 is: 1,086,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,578 : 462,069 = 462,069 : x
  2. Step 2: Convert to fraction form
    196,578/462,069 = 462,069/x
  3. Step 3: Cross multiply
    196,578x = 462,069 × 462,069
  4. Step 4: Simplify right side
    196,578x = 213,507,760,761
  5. Step 5: Solve for x
    x = 213,507,760,761/196,578
  6. Step 6: Final answer
    x = 1,086,122.36

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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.