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Finding the Third Proportional to 467,380.50 and 763,119

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Solution

The third proportional to 467,380.50 and 763,119 is: 1,245,988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,380.50 : 763,119 = 763,119 : x
  2. Step 2: Convert to fraction form
    467,380.50/763,119 = 763,119/x
  3. Step 3: Cross multiply
    467,380.50x = 763,119 × 763,119
  4. Step 4: Simplify right side
    467,380.50x = 582,350,608,161
  5. Step 5: Solve for x
    x = 582,350,608,161/467,380.50
  6. Step 6: Final answer
    x = 1,245,988.24

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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.