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Finding the Third Proportional to 493,227 and 668,394

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Solution

The third proportional to 493,227 and 668,394 is: 905,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,227 : 668,394 = 668,394 : x
  2. Step 2: Convert to fraction form
    493,227/668,394 = 668,394/x
  3. Step 3: Cross multiply
    493,227x = 668,394 × 668,394
  4. Step 4: Simplify right side
    493,227x = 446,750,539,236
  5. Step 5: Solve for x
    x = 446,750,539,236/493,227
  6. Step 6: Final answer
    x = 905,770.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.