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Finding the Third Proportional to 380,922.75 and 793,373.48

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Solution

The third proportional to 380,922.75 and 793,373.48 is: 1,652,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,922.75 : 793,373.48 = 793,373.48 : x
  2. Step 2: Convert to fraction form
    380,922.75/793,373.48 = 793,373.48/x
  3. Step 3: Cross multiply
    380,922.75x = 793,373.48 × 793,373.48
  4. Step 4: Simplify right side
    380,922.75x = 629,441,485,709.33
  5. Step 5: Solve for x
    x = 629,441,485,709.33/380,922.75
  6. Step 6: Final answer
    x = 1,652,412.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.