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Finding the Third Proportional to 263,298 and 578,079

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Solution

The third proportional to 263,298 and 578,079 is: 1,269,190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,298 : 578,079 = 578,079 : x
  2. Step 2: Convert to fraction form
    263,298/578,079 = 578,079/x
  3. Step 3: Cross multiply
    263,298x = 578,079 × 578,079
  4. Step 4: Simplify right side
    263,298x = 334,175,330,241
  5. Step 5: Solve for x
    x = 334,175,330,241/263,298
  6. Step 6: Final answer
    x = 1,269,190.54

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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.