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Finding the Third Proportional to 452,067 and 682,686

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Solution

The third proportional to 452,067 and 682,686 is: 1,030,953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,067 : 682,686 = 682,686 : x
  2. Step 2: Convert to fraction form
    452,067/682,686 = 682,686/x
  3. Step 3: Cross multiply
    452,067x = 682,686 × 682,686
  4. Step 4: Simplify right side
    452,067x = 466,060,174,596
  5. Step 5: Solve for x
    x = 466,060,174,596/452,067
  6. Step 6: Final answer
    x = 1,030,953.76

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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.