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Finding the Third Proportional to 465,106 and 701,067

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Solution

The third proportional to 465,106 and 701,067 is: 1,056,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,106 : 701,067 = 701,067 : x
  2. Step 2: Convert to fraction form
    465,106/701,067 = 701,067/x
  3. Step 3: Cross multiply
    465,106x = 701,067 × 701,067
  4. Step 4: Simplify right side
    465,106x = 491,494,938,489
  5. Step 5: Solve for x
    x = 491,494,938,489/465,106
  6. Step 6: Final answer
    x = 1,056,737.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.