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Finding the Third Proportional to 283,106 and 667,361

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Solution

The third proportional to 283,106 and 667,361 is: 1,573,158.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,106 : 667,361 = 667,361 : x
  2. Step 2: Convert to fraction form
    283,106/667,361 = 667,361/x
  3. Step 3: Cross multiply
    283,106x = 667,361 × 667,361
  4. Step 4: Simplify right side
    283,106x = 445,370,704,321
  5. Step 5: Solve for x
    x = 445,370,704,321/283,106
  6. Step 6: Final answer
    x = 1,573,158.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.