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Finding the Third Proportional to 347,953 and 763,150

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Solution

The third proportional to 347,953 and 763,150 is: 1,673,783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,953 : 763,150 = 763,150 : x
  2. Step 2: Convert to fraction form
    347,953/763,150 = 763,150/x
  3. Step 3: Cross multiply
    347,953x = 763,150 × 763,150
  4. Step 4: Simplify right side
    347,953x = 582,397,922,500
  5. Step 5: Solve for x
    x = 582,397,922,500/347,953
  6. Step 6: Final answer
    x = 1,673,783.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.