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Finding the Third Proportional to 467,406 and 763,150

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Solution

The third proportional to 467,406 and 763,150 is: 1,246,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,406 : 763,150 = 763,150 : x
  2. Step 2: Convert to fraction form
    467,406/763,150 = 763,150/x
  3. Step 3: Cross multiply
    467,406x = 763,150 × 763,150
  4. Step 4: Simplify right side
    467,406x = 582,397,922,500
  5. Step 5: Solve for x
    x = 582,397,922,500/467,406
  6. Step 6: Final answer
    x = 1,246,021.49

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.