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Finding the Third Proportional to 213,672 and 467,035

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Solution

The third proportional to 213,672 and 467,035 is: 1,020,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,672 : 467,035 = 467,035 : x
  2. Step 2: Convert to fraction form
    213,672/467,035 = 467,035/x
  3. Step 3: Cross multiply
    213,672x = 467,035 × 467,035
  4. Step 4: Simplify right side
    213,672x = 218,121,691,225
  5. Step 5: Solve for x
    x = 218,121,691,225/213,672
  6. Step 6: Final answer
    x = 1,020,824.87

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Why These Related Problems?

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