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Finding the Third Proportional to 520,467.75 and 1,204,794

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Solution

The third proportional to 520,467.75 and 1,204,794 is: 2,788,892.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,467.75 : 1,204,794 = 1,204,794 : x
  2. Step 2: Convert to fraction form
    520,467.75/1,204,794 = 1,204,794/x
  3. Step 3: Cross multiply
    520,467.75x = 1,204,794 × 1,204,794
  4. Step 4: Simplify right side
    520,467.75x = 1,451,528,582,436
  5. Step 5: Solve for x
    x = 1,451,528,582,436/520,467.75
  6. Step 6: Final answer
    x = 2,788,892.46

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.