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Finding the Third Proportional to 266,826 and 582,900

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Solution

The third proportional to 266,826 and 582,900 is: 1,273,385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,826 : 582,900 = 582,900 : x
  2. Step 2: Convert to fraction form
    266,826/582,900 = 582,900/x
  3. Step 3: Cross multiply
    266,826x = 582,900 × 582,900
  4. Step 4: Simplify right side
    266,826x = 339,772,410,000
  5. Step 5: Solve for x
    x = 339,772,410,000/266,826
  6. Step 6: Final answer
    x = 1,273,385.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.