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Finding the Third Proportional to 479,533.50 and 1,033,857

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Solution

The third proportional to 479,533.50 and 1,033,857 is: 2,228,958.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,533.50 : 1,033,857 = 1,033,857 : x
  2. Step 2: Convert to fraction form
    479,533.50/1,033,857 = 1,033,857/x
  3. Step 3: Cross multiply
    479,533.50x = 1,033,857 × 1,033,857
  4. Step 4: Simplify right side
    479,533.50x = 1,068,860,296,449
  5. Step 5: Solve for x
    x = 1,068,860,296,449/479,533.50
  6. Step 6: Final answer
    x = 2,228,958.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.