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Finding the Third Proportional to 196,994 and 418,606

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Solution

The third proportional to 196,994 and 418,606 is: 889,524.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,994 : 418,606 = 418,606 : x
  2. Step 2: Convert to fraction form
    196,994/418,606 = 418,606/x
  3. Step 3: Cross multiply
    196,994x = 418,606 × 418,606
  4. Step 4: Simplify right side
    196,994x = 175,230,983,236
  5. Step 5: Solve for x
    x = 175,230,983,236/196,994
  6. Step 6: Final answer
    x = 889,524.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.