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Finding the Third Proportional to 197,460.28 and 418,453.59

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Solution

The third proportional to 197,460.28 and 418,453.59 is: 886,777.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,460.28 : 418,453.59 = 418,453.59 : x
  2. Step 2: Convert to fraction form
    197,460.28/418,453.59 = 418,453.59/x
  3. Step 3: Cross multiply
    197,460.28x = 418,453.59 × 418,453.59
  4. Step 4: Simplify right side
    197,460.28x = 175,103,410,122.29
  5. Step 5: Solve for x
    x = 175,103,410,122.29/197,460.28
  6. Step 6: Final answer
    x = 886,777.88

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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.