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Finding the Third Proportional to 266,504 and 582,830

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Solution

The third proportional to 266,504 and 582,830 is: 1,274,618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,504 : 582,830 = 582,830 : x
  2. Step 2: Convert to fraction form
    266,504/582,830 = 582,830/x
  3. Step 3: Cross multiply
    266,504x = 582,830 × 582,830
  4. Step 4: Simplify right side
    266,504x = 339,690,808,900
  5. Step 5: Solve for x
    x = 339,690,808,900/266,504
  6. Step 6: Final answer
    x = 1,274,618.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.