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Finding the Third Proportional to 279,238 and 443,886

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Solution

The third proportional to 279,238 and 443,886 is: 705,615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,238 : 443,886 = 443,886 : x
  2. Step 2: Convert to fraction form
    279,238/443,886 = 443,886/x
  3. Step 3: Cross multiply
    279,238x = 443,886 × 443,886
  4. Step 4: Simplify right side
    279,238x = 197,034,780,996
  5. Step 5: Solve for x
    x = 197,034,780,996/279,238
  6. Step 6: Final answer
    x = 705,615.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.