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Finding the Third Proportional to 289,766 and 443,260

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Solution

The third proportional to 289,766 and 443,260 is: 678,062.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,766 : 443,260 = 443,260 : x
  2. Step 2: Convert to fraction form
    289,766/443,260 = 443,260/x
  3. Step 3: Cross multiply
    289,766x = 443,260 × 443,260
  4. Step 4: Simplify right side
    289,766x = 196,479,427,600
  5. Step 5: Solve for x
    x = 196,479,427,600/289,766
  6. Step 6: Final answer
    x = 678,062.39

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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.