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Finding the Third Proportional to 497,520 and 789,067

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Solution

The third proportional to 497,520 and 789,067 is: 1,251,460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,520 : 789,067 = 789,067 : x
  2. Step 2: Convert to fraction form
    497,520/789,067 = 789,067/x
  3. Step 3: Cross multiply
    497,520x = 789,067 × 789,067
  4. Step 4: Simplify right side
    497,520x = 622,626,730,489
  5. Step 5: Solve for x
    x = 622,626,730,489/497,520
  6. Step 6: Final answer
    x = 1,251,460.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.