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Finding the Third Proportional to 376,003 and 582,497

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Solution

The third proportional to 376,003 and 582,497 is: 902,393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,003 : 582,497 = 582,497 : x
  2. Step 2: Convert to fraction form
    376,003/582,497 = 582,497/x
  3. Step 3: Cross multiply
    376,003x = 582,497 × 582,497
  4. Step 4: Simplify right side
    376,003x = 339,302,755,009
  5. Step 5: Solve for x
    x = 339,302,755,009/376,003
  6. Step 6: Final answer
    x = 902,393.74

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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.