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Finding the Third Proportional to 207,270 and 443,940

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Solution

The third proportional to 207,270 and 443,940 is: 950,850.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,270 : 443,940 = 443,940 : x
  2. Step 2: Convert to fraction form
    207,270/443,940 = 443,940/x
  3. Step 3: Cross multiply
    207,270x = 443,940 × 443,940
  4. Step 4: Simplify right side
    207,270x = 197,082,723,600
  5. Step 5: Solve for x
    x = 197,082,723,600/207,270
  6. Step 6: Final answer
    x = 950,850.21

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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.