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Finding the Third Proportional to 368,170 and 759,828

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Solution

The third proportional to 368,170 and 759,828 is: 1,568,130.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,170 : 759,828 = 759,828 : x
  2. Step 2: Convert to fraction form
    368,170/759,828 = 759,828/x
  3. Step 3: Cross multiply
    368,170x = 759,828 × 759,828
  4. Step 4: Simplify right side
    368,170x = 577,338,589,584
  5. Step 5: Solve for x
    x = 577,338,589,584/368,170
  6. Step 6: Final answer
    x = 1,568,130.45

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.