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Finding the Third Proportional to 263,923 and 537,202

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Solution

The third proportional to 263,923 and 537,202 is: 1,093,447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,923 : 537,202 = 537,202 : x
  2. Step 2: Convert to fraction form
    263,923/537,202 = 537,202/x
  3. Step 3: Cross multiply
    263,923x = 537,202 × 537,202
  4. Step 4: Simplify right side
    263,923x = 288,585,988,804
  5. Step 5: Solve for x
    x = 288,585,988,804/263,923
  6. Step 6: Final answer
    x = 1,093,447.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.