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Finding the Third Proportional to 360,325 and 834,055

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Solution

The third proportional to 360,325 and 834,055 is: 1,930,611.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,325 : 834,055 = 834,055 : x
  2. Step 2: Convert to fraction form
    360,325/834,055 = 834,055/x
  3. Step 3: Cross multiply
    360,325x = 834,055 × 834,055
  4. Step 4: Simplify right side
    360,325x = 695,647,743,025
  5. Step 5: Solve for x
    x = 695,647,743,025/360,325
  6. Step 6: Final answer
    x = 1,930,611.93

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.