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Finding the Third Proportional to 251,504 and 600,600

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Solution

The third proportional to 251,504 and 600,600 is: 1,434,252.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,504 : 600,600 = 600,600 : x
  2. Step 2: Convert to fraction form
    251,504/600,600 = 600,600/x
  3. Step 3: Cross multiply
    251,504x = 600,600 × 600,600
  4. Step 4: Simplify right side
    251,504x = 360,720,360,000
  5. Step 5: Solve for x
    x = 360,720,360,000/251,504
  6. Step 6: Final answer
    x = 1,434,252.97

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.