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Finding the Third Proportional to 266,514.75 and 582,849.56

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Solution

The third proportional to 266,514.75 and 582,849.56 is: 1,274,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,514.75 : 582,849.56 = 582,849.56 : x
  2. Step 2: Convert to fraction form
    266,514.75/582,849.56 = 582,849.56/x
  3. Step 3: Cross multiply
    266,514.75x = 582,849.56 × 582,849.56
  4. Step 4: Simplify right side
    266,514.75x = 339,713,612,506.44
  5. Step 5: Solve for x
    x = 339,713,612,506.44/266,514.75
  6. Step 6: Final answer
    x = 1,274,652.20

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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.