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Finding the Third Proportional to 344,094 and 809,679.75

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Solution

The third proportional to 344,094 and 809,679.75 is: 1,905,238.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,094 : 809,679.75 = 809,679.75 : x
  2. Step 2: Convert to fraction form
    344,094/809,679.75 = 809,679.75/x
  3. Step 3: Cross multiply
    344,094x = 809,679.75 × 809,679.75
  4. Step 4: Simplify right side
    344,094x = 655,581,297,560.06
  5. Step 5: Solve for x
    x = 655,581,297,560.06/344,094
  6. Step 6: Final answer
    x = 1,905,238.97

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.