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Finding the Third Proportional to 382,760 and 793,168

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Solution

The third proportional to 382,760 and 793,168 is: 1,643,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,760 : 793,168 = 793,168 : x
  2. Step 2: Convert to fraction form
    382,760/793,168 = 793,168/x
  3. Step 3: Cross multiply
    382,760x = 793,168 × 793,168
  4. Step 4: Simplify right side
    382,760x = 629,115,476,224
  5. Step 5: Solve for x
    x = 629,115,476,224/382,760
  6. Step 6: Final answer
    x = 1,643,629.10

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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.