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Finding the Third Proportional to 289,820 and 443,375

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Solution

The third proportional to 289,820 and 443,375 is: 678,287.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,820 : 443,375 = 443,375 : x
  2. Step 2: Convert to fraction form
    289,820/443,375 = 443,375/x
  3. Step 3: Cross multiply
    289,820x = 443,375 × 443,375
  4. Step 4: Simplify right side
    289,820x = 196,581,390,625
  5. Step 5: Solve for x
    x = 196,581,390,625/289,820
  6. Step 6: Final answer
    x = 678,287.87

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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.