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Finding the Third Proportional to 380,738.25 and 836,779.50

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Solution

The third proportional to 380,738.25 and 836,779.50 is: 1,839,058.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,738.25 : 836,779.50 = 836,779.50 : x
  2. Step 2: Convert to fraction form
    380,738.25/836,779.50 = 836,779.50/x
  3. Step 3: Cross multiply
    380,738.25x = 836,779.50 × 836,779.50
  4. Step 4: Simplify right side
    380,738.25x = 700,199,931,620.25
  5. Step 5: Solve for x
    x = 700,199,931,620.25/380,738.25
  6. Step 6: Final answer
    x = 1,839,058.54

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.