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Finding the Third Proportional to 279,034 and 443,460

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Solution

The third proportional to 279,034 and 443,460 is: 704,777.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,034 : 443,460 = 443,460 : x
  2. Step 2: Convert to fraction form
    279,034/443,460 = 443,460/x
  3. Step 3: Cross multiply
    279,034x = 443,460 × 443,460
  4. Step 4: Simplify right side
    279,034x = 196,656,771,600
  5. Step 5: Solve for x
    x = 196,656,771,600/279,034
  6. Step 6: Final answer
    x = 704,777.09

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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.