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Finding the Third Proportional to 263,550 and 567,126

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Solution

The third proportional to 263,550 and 567,126 is: 1,220,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,550 : 567,126 = 567,126 : x
  2. Step 2: Convert to fraction form
    263,550/567,126 = 567,126/x
  3. Step 3: Cross multiply
    263,550x = 567,126 × 567,126
  4. Step 4: Simplify right side
    263,550x = 321,631,899,876
  5. Step 5: Solve for x
    x = 321,631,899,876/263,550
  6. Step 6: Final answer
    x = 1,220,382.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.