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Finding the Third Proportional to 283,846 and 426,954

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Solution

The third proportional to 283,846 and 426,954 is: 642,213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,846 : 426,954 = 426,954 : x
  2. Step 2: Convert to fraction form
    283,846/426,954 = 426,954/x
  3. Step 3: Cross multiply
    283,846x = 426,954 × 426,954
  4. Step 4: Simplify right side
    283,846x = 182,289,718,116
  5. Step 5: Solve for x
    x = 182,289,718,116/283,846
  6. Step 6: Final answer
    x = 642,213.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.