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Finding the Third Proportional to 391,847.75 and 800,300.50

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Solution

The third proportional to 391,847.75 and 800,300.50 is: 1,634,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,847.75 : 800,300.50 = 800,300.50 : x
  2. Step 2: Convert to fraction form
    391,847.75/800,300.50 = 800,300.50/x
  3. Step 3: Cross multiply
    391,847.75x = 800,300.50 × 800,300.50
  4. Step 4: Simplify right side
    391,847.75x = 640,480,890,300.25
  5. Step 5: Solve for x
    x = 640,480,890,300.25/391,847.75
  6. Step 6: Final answer
    x = 1,634,514.66

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.