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Finding the Third Proportional to 344,659.50 and 504,974.25

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Solution

The third proportional to 344,659.50 and 504,974.25 is: 739,857.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,659.50 : 504,974.25 = 504,974.25 : x
  2. Step 2: Convert to fraction form
    344,659.50/504,974.25 = 504,974.25/x
  3. Step 3: Cross multiply
    344,659.50x = 504,974.25 × 504,974.25
  4. Step 4: Simplify right side
    344,659.50x = 254,998,993,163.06
  5. Step 5: Solve for x
    x = 254,998,993,163.06/344,659.50
  6. Step 6: Final answer
    x = 739,857.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.