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Finding the Third Proportional to 263,200 and 578,876

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Solution

The third proportional to 263,200 and 578,876 is: 1,273,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,200 : 578,876 = 578,876 : x
  2. Step 2: Convert to fraction form
    263,200/578,876 = 578,876/x
  3. Step 3: Cross multiply
    263,200x = 578,876 × 578,876
  4. Step 4: Simplify right side
    263,200x = 335,097,423,376
  5. Step 5: Solve for x
    x = 335,097,423,376/263,200
  6. Step 6: Final answer
    x = 1,273,166.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.