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Finding the Third Proportional to 194,724 and 414,558

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Solution

The third proportional to 194,724 and 414,558 is: 882,573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,724 : 414,558 = 414,558 : x
  2. Step 2: Convert to fraction form
    194,724/414,558 = 414,558/x
  3. Step 3: Cross multiply
    194,724x = 414,558 × 414,558
  4. Step 4: Simplify right side
    194,724x = 171,858,335,364
  5. Step 5: Solve for x
    x = 171,858,335,364/194,724
  6. Step 6: Final answer
    x = 882,573.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.