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Finding the Third Proportional to 282,067.50 and 587,464.50

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Solution

The third proportional to 282,067.50 and 587,464.50 is: 1,223,517.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,067.50 : 587,464.50 = 587,464.50 : x
  2. Step 2: Convert to fraction form
    282,067.50/587,464.50 = 587,464.50/x
  3. Step 3: Cross multiply
    282,067.50x = 587,464.50 × 587,464.50
  4. Step 4: Simplify right side
    282,067.50x = 345,114,538,760.25
  5. Step 5: Solve for x
    x = 345,114,538,760.25/282,067.50
  6. Step 6: Final answer
    x = 1,223,517.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.