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Finding the Third Proportional to 467,926 and 698,766

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Solution

The third proportional to 467,926 and 698,766 is: 1,043,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,926 : 698,766 = 698,766 : x
  2. Step 2: Convert to fraction form
    467,926/698,766 = 698,766/x
  3. Step 3: Cross multiply
    467,926x = 698,766 × 698,766
  4. Step 4: Simplify right side
    467,926x = 488,273,922,756
  5. Step 5: Solve for x
    x = 488,273,922,756/467,926
  6. Step 6: Final answer
    x = 1,043,485.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.