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Finding the Third Proportional to 364,203 and 800,671.50

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Solution

The third proportional to 364,203 and 800,671.50 is: 1,760,212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,203 : 800,671.50 = 800,671.50 : x
  2. Step 2: Convert to fraction form
    364,203/800,671.50 = 800,671.50/x
  3. Step 3: Cross multiply
    364,203x = 800,671.50 × 800,671.50
  4. Step 4: Simplify right side
    364,203x = 641,074,850,912.25
  5. Step 5: Solve for x
    x = 641,074,850,912.25/364,203
  6. Step 6: Final answer
    x = 1,760,212.99

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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.