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Finding the Third Proportional to 320,584.50 and 677,214

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Solution

The third proportional to 320,584.50 and 677,214 is: 1,430,570.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,584.50 : 677,214 = 677,214 : x
  2. Step 2: Convert to fraction form
    320,584.50/677,214 = 677,214/x
  3. Step 3: Cross multiply
    320,584.50x = 677,214 × 677,214
  4. Step 4: Simplify right side
    320,584.50x = 458,618,801,796
  5. Step 5: Solve for x
    x = 458,618,801,796/320,584.50
  6. Step 6: Final answer
    x = 1,430,570.73

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.