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Finding the Third Proportional to 260,794.50 and 550,077

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Solution

The third proportional to 260,794.50 and 550,077 is: 1,160,241.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,794.50 : 550,077 = 550,077 : x
  2. Step 2: Convert to fraction form
    260,794.50/550,077 = 550,077/x
  3. Step 3: Cross multiply
    260,794.50x = 550,077 × 550,077
  4. Step 4: Simplify right side
    260,794.50x = 302,584,705,929
  5. Step 5: Solve for x
    x = 302,584,705,929/260,794.50
  6. Step 6: Final answer
    x = 1,160,241.90

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Why These Related Problems?

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