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Finding the Third Proportional to 269,526 and 449,172

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Solution

The third proportional to 269,526 and 449,172 is: 748,556.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,526 : 449,172 = 449,172 : x
  2. Step 2: Convert to fraction form
    269,526/449,172 = 449,172/x
  3. Step 3: Cross multiply
    269,526x = 449,172 × 449,172
  4. Step 4: Simplify right side
    269,526x = 201,755,485,584
  5. Step 5: Solve for x
    x = 201,755,485,584/269,526
  6. Step 6: Final answer
    x = 748,556.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.