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Finding the Third Proportional to 218,944.50 and 473,874

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Solution

The third proportional to 218,944.50 and 473,874 is: 1,025,632.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,944.50 : 473,874 = 473,874 : x
  2. Step 2: Convert to fraction form
    218,944.50/473,874 = 473,874/x
  3. Step 3: Cross multiply
    218,944.50x = 473,874 × 473,874
  4. Step 4: Simplify right side
    218,944.50x = 224,556,567,876
  5. Step 5: Solve for x
    x = 224,556,567,876/218,944.50
  6. Step 6: Final answer
    x = 1,025,632.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.