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Finding the Third Proportional to 263,920 and 537,196

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Solution

The third proportional to 263,920 and 537,196 is: 1,093,435.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,920 : 537,196 = 537,196 : x
  2. Step 2: Convert to fraction form
    263,920/537,196 = 537,196/x
  3. Step 3: Cross multiply
    263,920x = 537,196 × 537,196
  4. Step 4: Simplify right side
    263,920x = 288,579,542,416
  5. Step 5: Solve for x
    x = 288,579,542,416/263,920
  6. Step 6: Final answer
    x = 1,093,435.67

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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.