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Finding the Third Proportional to 276,922 and 600,500

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Solution

The third proportional to 276,922 and 600,500 is: 1,302,172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,922 : 600,500 = 600,500 : x
  2. Step 2: Convert to fraction form
    276,922/600,500 = 600,500/x
  3. Step 3: Cross multiply
    276,922x = 600,500 × 600,500
  4. Step 4: Simplify right side
    276,922x = 360,600,250,000
  5. Step 5: Solve for x
    x = 360,600,250,000/276,922
  6. Step 6: Final answer
    x = 1,302,172.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.