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Finding the Third Proportional to 279,686 and 443,091

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Solution

The third proportional to 279,686 and 443,091 is: 701,964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,686 : 443,091 = 443,091 : x
  2. Step 2: Convert to fraction form
    279,686/443,091 = 443,091/x
  3. Step 3: Cross multiply
    279,686x = 443,091 × 443,091
  4. Step 4: Simplify right side
    279,686x = 196,329,634,281
  5. Step 5: Solve for x
    x = 196,329,634,281/279,686
  6. Step 6: Final answer
    x = 701,964.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.