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Finding the Third Proportional to 522,515.25 and 1,067,170.50

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Solution

The third proportional to 522,515.25 and 1,067,170.50 is: 2,179,559.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,515.25 : 1,067,170.50 = 1,067,170.50 : x
  2. Step 2: Convert to fraction form
    522,515.25/1,067,170.50 = 1,067,170.50/x
  3. Step 3: Cross multiply
    522,515.25x = 1,067,170.50 × 1,067,170.50
  4. Step 4: Simplify right side
    522,515.25x = 1,138,852,876,070.25
  5. Step 5: Solve for x
    x = 1,138,852,876,070.25/522,515.25
  6. Step 6: Final answer
    x = 2,179,559.12

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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.