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Finding the Third Proportional to 219,092 and 448,568

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Solution

The third proportional to 219,092 and 448,568 is: 918,396.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,092 : 448,568 = 448,568 : x
  2. Step 2: Convert to fraction form
    219,092/448,568 = 448,568/x
  3. Step 3: Cross multiply
    219,092x = 448,568 × 448,568
  4. Step 4: Simplify right side
    219,092x = 201,213,250,624
  5. Step 5: Solve for x
    x = 201,213,250,624/219,092
  6. Step 6: Final answer
    x = 918,396.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.