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Finding the Third Proportional to 467,934 and 958,000

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Solution

The third proportional to 467,934 and 958,000 is: 1,961,310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,934 : 958,000 = 958,000 : x
  2. Step 2: Convert to fraction form
    467,934/958,000 = 958,000/x
  3. Step 3: Cross multiply
    467,934x = 958,000 × 958,000
  4. Step 4: Simplify right side
    467,934x = 917,764,000,000
  5. Step 5: Solve for x
    x = 917,764,000,000/467,934
  6. Step 6: Final answer
    x = 1,961,310.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.