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Finding the Third Proportional to 505,855.13 and 1,058,474.25

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Solution

The third proportional to 505,855.13 and 1,058,474.25 is: 2,214,799.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,855.13 : 1,058,474.25 = 1,058,474.25 : x
  2. Step 2: Convert to fraction form
    505,855.13/1,058,474.25 = 1,058,474.25/x
  3. Step 3: Cross multiply
    505,855.13x = 1,058,474.25 × 1,058,474.25
  4. Step 4: Simplify right side
    505,855.13x = 1,120,367,737,913.06
  5. Step 5: Solve for x
    x = 1,120,367,737,913.06/505,855.13
  6. Step 6: Final answer
    x = 2,214,799.62

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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.