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Finding the Third Proportional to 289,861.50 and 627,975

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Solution

The third proportional to 289,861.50 and 627,975 is: 1,360,486.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,861.50 : 627,975 = 627,975 : x
  2. Step 2: Convert to fraction form
    289,861.50/627,975 = 627,975/x
  3. Step 3: Cross multiply
    289,861.50x = 627,975 × 627,975
  4. Step 4: Simplify right side
    289,861.50x = 394,352,600,625
  5. Step 5: Solve for x
    x = 394,352,600,625/289,861.50
  6. Step 6: Final answer
    x = 1,360,486.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.