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Finding the Third Proportional to 366,954 and 759,079

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Solution

The third proportional to 366,954 and 759,079 is: 1,570,226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,954 : 759,079 = 759,079 : x
  2. Step 2: Convert to fraction form
    366,954/759,079 = 759,079/x
  3. Step 3: Cross multiply
    366,954x = 759,079 × 759,079
  4. Step 4: Simplify right side
    366,954x = 576,200,928,241
  5. Step 5: Solve for x
    x = 576,200,928,241/366,954
  6. Step 6: Final answer
    x = 1,570,226.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.