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Finding the Third Proportional to 287,067 and 670,504

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Solution

The third proportional to 287,067 and 670,504 is: 1,566,099.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,067 : 670,504 = 670,504 : x
  2. Step 2: Convert to fraction form
    287,067/670,504 = 670,504/x
  3. Step 3: Cross multiply
    287,067x = 670,504 × 670,504
  4. Step 4: Simplify right side
    287,067x = 449,575,614,016
  5. Step 5: Solve for x
    x = 449,575,614,016/287,067
  6. Step 6: Final answer
    x = 1,566,099.95

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.