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Finding the Third Proportional to 521,714 and 793,533

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Solution

The third proportional to 521,714 and 793,533 is: 1,206,972.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,714 : 793,533 = 793,533 : x
  2. Step 2: Convert to fraction form
    521,714/793,533 = 793,533/x
  3. Step 3: Cross multiply
    521,714x = 793,533 × 793,533
  4. Step 4: Simplify right side
    521,714x = 629,694,622,089
  5. Step 5: Solve for x
    x = 629,694,622,089/521,714
  6. Step 6: Final answer
    x = 1,206,972.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.