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Finding the Third Proportional to 263,922 and 537,200

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Solution

The third proportional to 263,922 and 537,200 is: 1,093,443.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,922 : 537,200 = 537,200 : x
  2. Step 2: Convert to fraction form
    263,922/537,200 = 537,200/x
  3. Step 3: Cross multiply
    263,922x = 537,200 × 537,200
  4. Step 4: Simplify right side
    263,922x = 288,583,840,000
  5. Step 5: Solve for x
    x = 288,583,840,000/263,922
  6. Step 6: Final answer
    x = 1,093,443.67

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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.