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Finding the Third Proportional to 289,938 and 443,519

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Solution

The third proportional to 289,938 and 443,519 is: 678,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,938 : 443,519 = 443,519 : x
  2. Step 2: Convert to fraction form
    289,938/443,519 = 443,519/x
  3. Step 3: Cross multiply
    289,938x = 443,519 × 443,519
  4. Step 4: Simplify right side
    289,938x = 196,709,103,361
  5. Step 5: Solve for x
    x = 196,709,103,361/289,938
  6. Step 6: Final answer
    x = 678,452.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.