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Finding the Third Proportional to 314,391.25 and 444,431.25

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Solution

The third proportional to 314,391.25 and 444,431.25 is: 628,259.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,391.25 : 444,431.25 = 444,431.25 : x
  2. Step 2: Convert to fraction form
    314,391.25/444,431.25 = 444,431.25/x
  3. Step 3: Cross multiply
    314,391.25x = 444,431.25 × 444,431.25
  4. Step 4: Simplify right side
    314,391.25x = 197,519,135,976.56
  5. Step 5: Solve for x
    x = 197,519,135,976.56/314,391.25
  6. Step 6: Final answer
    x = 628,259.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.