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Finding the Third Proportional to 203,538 and 412,596

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Solution

The third proportional to 203,538 and 412,596 is: 836,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,538 : 412,596 = 412,596 : x
  2. Step 2: Convert to fraction form
    203,538/412,596 = 412,596/x
  3. Step 3: Cross multiply
    203,538x = 412,596 × 412,596
  4. Step 4: Simplify right side
    203,538x = 170,235,459,216
  5. Step 5: Solve for x
    x = 170,235,459,216/203,538
  6. Step 6: Final answer
    x = 836,381.70

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.