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Finding the Third Proportional to 650,274 and 863,064

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Solution

The third proportional to 650,274 and 863,064 is: 1,145,485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,274 : 863,064 = 863,064 : x
  2. Step 2: Convert to fraction form
    650,274/863,064 = 863,064/x
  3. Step 3: Cross multiply
    650,274x = 863,064 × 863,064
  4. Step 4: Simplify right side
    650,274x = 744,879,468,096
  5. Step 5: Solve for x
    x = 744,879,468,096/650,274
  6. Step 6: Final answer
    x = 1,145,485.55

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.