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Finding the Third Proportional to 263,186 and 578,846

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Solution

The third proportional to 263,186 and 578,846 is: 1,273,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,186 : 578,846 = 578,846 : x
  2. Step 2: Convert to fraction form
    263,186/578,846 = 578,846/x
  3. Step 3: Cross multiply
    263,186x = 578,846 × 578,846
  4. Step 4: Simplify right side
    263,186x = 335,062,691,716
  5. Step 5: Solve for x
    x = 335,062,691,716/263,186
  6. Step 6: Final answer
    x = 1,273,102.26

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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.