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Finding the Third Proportional to 205,611.98 and 458,500.03

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Solution

The third proportional to 205,611.98 and 458,500.03 is: 1,022,422.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,611.98 : 458,500.03 = 458,500.03 : x
  2. Step 2: Convert to fraction form
    205,611.98/458,500.03 = 458,500.03/x
  3. Step 3: Cross multiply
    205,611.98x = 458,500.03 × 458,500.03
  4. Step 4: Simplify right side
    205,611.98x = 210,222,278,656.25
  5. Step 5: Solve for x
    x = 210,222,278,656.25/205,611.98
  6. Step 6: Final answer
    x = 1,022,422.30

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.