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Finding the Third Proportional to 396,633.50 and 604,250

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Solution

The third proportional to 396,633.50 and 604,250 is: 920,542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,633.50 : 604,250 = 604,250 : x
  2. Step 2: Convert to fraction form
    396,633.50/604,250 = 604,250/x
  3. Step 3: Cross multiply
    396,633.50x = 604,250 × 604,250
  4. Step 4: Simplify right side
    396,633.50x = 365,118,062,500
  5. Step 5: Solve for x
    x = 365,118,062,500/396,633.50
  6. Step 6: Final answer
    x = 920,542.67

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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.