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Finding the Third Proportional to 613,416.50 and 1,340,556.50

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Solution

The third proportional to 613,416.50 and 1,340,556.50 is: 2,929,643.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,416.50 : 1,340,556.50 = 1,340,556.50 : x
  2. Step 2: Convert to fraction form
    613,416.50/1,340,556.50 = 1,340,556.50/x
  3. Step 3: Cross multiply
    613,416.50x = 1,340,556.50 × 1,340,556.50
  4. Step 4: Simplify right side
    613,416.50x = 1,797,091,729,692.25
  5. Step 5: Solve for x
    x = 1,797,091,729,692.25/613,416.50
  6. Step 6: Final answer
    x = 2,929,643.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.