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Finding the Third Proportional to 295,022.25 and 446,991.75

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Solution

The third proportional to 295,022.25 and 446,991.75 is: 677,242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,022.25 : 446,991.75 = 446,991.75 : x
  2. Step 2: Convert to fraction form
    295,022.25/446,991.75 = 446,991.75/x
  3. Step 3: Cross multiply
    295,022.25x = 446,991.75 × 446,991.75
  4. Step 4: Simplify right side
    295,022.25x = 199,801,624,568.06
  5. Step 5: Solve for x
    x = 199,801,624,568.06/295,022.25
  6. Step 6: Final answer
    x = 677,242.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.