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Finding the Third Proportional to 260,220 and 541,216.50

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Solution

The third proportional to 260,220 and 541,216.50 is: 1,125,644.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,220 : 541,216.50 = 541,216.50 : x
  2. Step 2: Convert to fraction form
    260,220/541,216.50 = 541,216.50/x
  3. Step 3: Cross multiply
    260,220x = 541,216.50 × 541,216.50
  4. Step 4: Simplify right side
    260,220x = 292,915,299,872.25
  5. Step 5: Solve for x
    x = 292,915,299,872.25/260,220
  6. Step 6: Final answer
    x = 1,125,644.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.