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Finding the Third Proportional to 263,533.50 and 574,770.94

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Solution

The third proportional to 263,533.50 and 574,770.94 is: 1,253,584.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,533.50 : 574,770.94 = 574,770.94 : x
  2. Step 2: Convert to fraction form
    263,533.50/574,770.94 = 574,770.94/x
  3. Step 3: Cross multiply
    263,533.50x = 574,770.94 × 574,770.94
  4. Step 4: Simplify right side
    263,533.50x = 330,361,630,594.63
  5. Step 5: Solve for x
    x = 330,361,630,594.63/263,533.50
  6. Step 6: Final answer
    x = 1,253,584.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.