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Finding the Third Proportional to 289,940 and 443,522

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Solution

The third proportional to 289,940 and 443,522 is: 678,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,940 : 443,522 = 443,522 : x
  2. Step 2: Convert to fraction form
    289,940/443,522 = 443,522/x
  3. Step 3: Cross multiply
    289,940x = 443,522 × 443,522
  4. Step 4: Simplify right side
    289,940x = 196,711,764,484
  5. Step 5: Solve for x
    x = 196,711,764,484/289,940
  6. Step 6: Final answer
    x = 678,456.80

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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.