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Finding the Third Proportional to 376,005 and 582,501

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Solution

The third proportional to 376,005 and 582,501 is: 902,401.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,005 : 582,501 = 582,501 : x
  2. Step 2: Convert to fraction form
    376,005/582,501 = 582,501/x
  3. Step 3: Cross multiply
    376,005x = 582,501 × 582,501
  4. Step 4: Simplify right side
    376,005x = 339,307,415,001
  5. Step 5: Solve for x
    x = 339,307,415,001/376,005
  6. Step 6: Final answer
    x = 902,401.34

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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.