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Finding the Third Proportional to 520,096 and 825,244

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Solution

The third proportional to 520,096 and 825,244 is: 1,309,426.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,096 : 825,244 = 825,244 : x
  2. Step 2: Convert to fraction form
    520,096/825,244 = 825,244/x
  3. Step 3: Cross multiply
    520,096x = 825,244 × 825,244
  4. Step 4: Simplify right side
    520,096x = 681,027,659,536
  5. Step 5: Solve for x
    x = 681,027,659,536/520,096
  6. Step 6: Final answer
    x = 1,309,426.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.