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Finding the Third Proportional to 276,378 and 580,596

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Solution

The third proportional to 276,378 and 580,596 is: 1,219,676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,378 : 580,596 = 580,596 : x
  2. Step 2: Convert to fraction form
    276,378/580,596 = 580,596/x
  3. Step 3: Cross multiply
    276,378x = 580,596 × 580,596
  4. Step 4: Simplify right side
    276,378x = 337,091,715,216
  5. Step 5: Solve for x
    x = 337,091,715,216/276,378
  6. Step 6: Final answer
    x = 1,219,676.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.