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Finding the Third Proportional to 207,232 and 443,876

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Solution

The third proportional to 207,232 and 443,876 is: 950,750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,232 : 443,876 = 443,876 : x
  2. Step 2: Convert to fraction form
    207,232/443,876 = 443,876/x
  3. Step 3: Cross multiply
    207,232x = 443,876 × 443,876
  4. Step 4: Simplify right side
    207,232x = 197,025,903,376
  5. Step 5: Solve for x
    x = 197,025,903,376/207,232
  6. Step 6: Final answer
    x = 950,750.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.