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Finding the Third Proportional to 250,738 and 522,212

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Solution

The third proportional to 250,738 and 522,212 is: 1,087,610.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,738 : 522,212 = 522,212 : x
  2. Step 2: Convert to fraction form
    250,738/522,212 = 522,212/x
  3. Step 3: Cross multiply
    250,738x = 522,212 × 522,212
  4. Step 4: Simplify right side
    250,738x = 272,705,372,944
  5. Step 5: Solve for x
    x = 272,705,372,944/250,738
  6. Step 6: Final answer
    x = 1,087,610.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.