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Finding the Third Proportional to 505,820.53 and 1,058,408.44

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Solution

The third proportional to 505,820.53 and 1,058,408.44 is: 2,214,675.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,820.53 : 1,058,408.44 = 1,058,408.44 : x
  2. Step 2: Convert to fraction form
    505,820.53/1,058,408.44 = 1,058,408.44/x
  3. Step 3: Cross multiply
    505,820.53x = 1,058,408.44 × 1,058,408.44
  4. Step 4: Simplify right side
    505,820.53x = 1,120,228,420,571.19
  5. Step 5: Solve for x
    x = 1,120,228,420,571.19/505,820.53
  6. Step 6: Final answer
    x = 2,214,675.66

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.