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Finding the Third Proportional to 207,840 and 446,568

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Solution

The third proportional to 207,840 and 446,568 is: 959,502.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,840 : 446,568 = 446,568 : x
  2. Step 2: Convert to fraction form
    207,840/446,568 = 446,568/x
  3. Step 3: Cross multiply
    207,840x = 446,568 × 446,568
  4. Step 4: Simplify right side
    207,840x = 199,422,978,624
  5. Step 5: Solve for x
    x = 199,422,978,624/207,840
  6. Step 6: Final answer
    x = 959,502.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.