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Finding the Third Proportional to 289,830 and 443,390

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Solution

The third proportional to 289,830 and 443,390 is: 678,310.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,830 : 443,390 = 443,390 : x
  2. Step 2: Convert to fraction form
    289,830/443,390 = 443,390/x
  3. Step 3: Cross multiply
    289,830x = 443,390 × 443,390
  4. Step 4: Simplify right side
    289,830x = 196,594,692,100
  5. Step 5: Solve for x
    x = 196,594,692,100/289,830
  6. Step 6: Final answer
    x = 678,310.36

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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.