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Finding the Third Proportional to 376,941 and 582,909

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Solution

The third proportional to 376,941 and 582,909 is: 901,421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,941 : 582,909 = 582,909 : x
  2. Step 2: Convert to fraction form
    376,941/582,909 = 582,909/x
  3. Step 3: Cross multiply
    376,941x = 582,909 × 582,909
  4. Step 4: Simplify right side
    376,941x = 339,782,902,281
  5. Step 5: Solve for x
    x = 339,782,902,281/376,941
  6. Step 6: Final answer
    x = 901,421.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.