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Finding the Third Proportional to 209,811 and 333,675

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Solution

The third proportional to 209,811 and 333,675 is: 530,663.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,811 : 333,675 = 333,675 : x
  2. Step 2: Convert to fraction form
    209,811/333,675 = 333,675/x
  3. Step 3: Cross multiply
    209,811x = 333,675 × 333,675
  4. Step 4: Simplify right side
    209,811x = 111,339,005,625
  5. Step 5: Solve for x
    x = 111,339,005,625/209,811
  6. Step 6: Final answer
    x = 530,663.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.