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Finding the Third Proportional to 276,183 and 601,575

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Solution

The third proportional to 276,183 and 601,575 is: 1,310,335.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,183 : 601,575 = 601,575 : x
  2. Step 2: Convert to fraction form
    276,183/601,575 = 601,575/x
  3. Step 3: Cross multiply
    276,183x = 601,575 × 601,575
  4. Step 4: Simplify right side
    276,183x = 361,892,480,625
  5. Step 5: Solve for x
    x = 361,892,480,625/276,183
  6. Step 6: Final answer
    x = 1,310,335.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.