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Finding the Third Proportional to 276,934 and 600,524

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Solution

The third proportional to 276,934 and 600,524 is: 1,302,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,934 : 600,524 = 600,524 : x
  2. Step 2: Convert to fraction form
    276,934/600,524 = 600,524/x
  3. Step 3: Cross multiply
    276,934x = 600,524 × 600,524
  4. Step 4: Simplify right side
    276,934x = 360,629,074,576
  5. Step 5: Solve for x
    x = 360,629,074,576/276,934
  6. Step 6: Final answer
    x = 1,302,220.29

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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.