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Finding the Third Proportional to 523,994.25 and 1,067,257.50

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Solution

The third proportional to 523,994.25 and 1,067,257.50 is: 2,173,761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,994.25 : 1,067,257.50 = 1,067,257.50 : x
  2. Step 2: Convert to fraction form
    523,994.25/1,067,257.50 = 1,067,257.50/x
  3. Step 3: Cross multiply
    523,994.25x = 1,067,257.50 × 1,067,257.50
  4. Step 4: Simplify right side
    523,994.25x = 1,139,038,571,306.25
  5. Step 5: Solve for x
    x = 1,139,038,571,306.25/523,994.25
  6. Step 6: Final answer
    x = 2,173,761.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.