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Finding the Third Proportional to 396,615 and 604,216.50

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Solution

The third proportional to 396,615 and 604,216.50 is: 920,483.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,615 : 604,216.50 = 604,216.50 : x
  2. Step 2: Convert to fraction form
    396,615/604,216.50 = 604,216.50/x
  3. Step 3: Cross multiply
    396,615x = 604,216.50 × 604,216.50
  4. Step 4: Simplify right side
    396,615x = 365,077,578,872.25
  5. Step 5: Solve for x
    x = 365,077,578,872.25/396,615
  6. Step 6: Final answer
    x = 920,483.54

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.