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Finding the Third Proportional to 366,991 and 759,152

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Solution

The third proportional to 366,991 and 759,152 is: 1,570,370.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,991 : 759,152 = 759,152 : x
  2. Step 2: Convert to fraction form
    366,991/759,152 = 759,152/x
  3. Step 3: Cross multiply
    366,991x = 759,152 × 759,152
  4. Step 4: Simplify right side
    366,991x = 576,311,759,104
  5. Step 5: Solve for x
    x = 576,311,759,104/366,991
  6. Step 6: Final answer
    x = 1,570,370.28

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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.