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Finding the Third Proportional to 196,647 and 426,594

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Solution

The third proportional to 196,647 and 426,594 is: 925,426.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,647 : 426,594 = 426,594 : x
  2. Step 2: Convert to fraction form
    196,647/426,594 = 426,594/x
  3. Step 3: Cross multiply
    196,647x = 426,594 × 426,594
  4. Step 4: Simplify right side
    196,647x = 181,982,440,836
  5. Step 5: Solve for x
    x = 181,982,440,836/196,647
  6. Step 6: Final answer
    x = 925,426.99

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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.