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Finding the Third Proportional to 493,845 and 670,750

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Solution

The third proportional to 493,845 and 670,750 is: 911,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,845 : 670,750 = 670,750 : x
  2. Step 2: Convert to fraction form
    493,845/670,750 = 670,750/x
  3. Step 3: Cross multiply
    493,845x = 670,750 × 670,750
  4. Step 4: Simplify right side
    493,845x = 449,905,562,500
  5. Step 5: Solve for x
    x = 449,905,562,500/493,845
  6. Step 6: Final answer
    x = 911,025.85

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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.