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Finding the Third Proportional to 251,504 and 539,000

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Solution

The third proportional to 251,504 and 539,000 is: 1,155,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,504 : 539,000 = 539,000 : x
  2. Step 2: Convert to fraction form
    251,504/539,000 = 539,000/x
  3. Step 3: Cross multiply
    251,504x = 539,000 × 539,000
  4. Step 4: Simplify right side
    251,504x = 290,521,000,000
  5. Step 5: Solve for x
    x = 290,521,000,000/251,504
  6. Step 6: Final answer
    x = 1,155,134.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.