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Finding the Third Proportional to 196,892 and 426,724

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Solution

The third proportional to 196,892 and 426,724 is: 924,838.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,892 : 426,724 = 426,724 : x
  2. Step 2: Convert to fraction form
    196,892/426,724 = 426,724/x
  3. Step 3: Cross multiply
    196,892x = 426,724 × 426,724
  4. Step 4: Simplify right side
    196,892x = 182,093,372,176
  5. Step 5: Solve for x
    x = 182,093,372,176/196,892
  6. Step 6: Final answer
    x = 924,838.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.