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Finding the Third Proportional to 197,462 and 418,458

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Solution

The third proportional to 197,462 and 418,458 is: 886,788.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,462 : 418,458 = 418,458 : x
  2. Step 2: Convert to fraction form
    197,462/418,458 = 418,458/x
  3. Step 3: Cross multiply
    197,462x = 418,458 × 418,458
  4. Step 4: Simplify right side
    197,462x = 175,107,097,764
  5. Step 5: Solve for x
    x = 175,107,097,764/197,462
  6. Step 6: Final answer
    x = 886,788.84

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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.