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Finding the Third Proportional to 199,827 and 434,907

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Solution

The third proportional to 199,827 and 434,907 is: 946,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,827 : 434,907 = 434,907 : x
  2. Step 2: Convert to fraction form
    199,827/434,907 = 434,907/x
  3. Step 3: Cross multiply
    199,827x = 434,907 × 434,907
  4. Step 4: Simplify right side
    199,827x = 189,144,098,649
  5. Step 5: Solve for x
    x = 189,144,098,649/199,827
  6. Step 6: Final answer
    x = 946,539.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.