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Finding the Third Proportional to 562,198.50 and 889,449.75

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Solution

The third proportional to 562,198.50 and 889,449.75 is: 1,407,191.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,198.50 : 889,449.75 = 889,449.75 : x
  2. Step 2: Convert to fraction form
    562,198.50/889,449.75 = 889,449.75/x
  3. Step 3: Cross multiply
    562,198.50x = 889,449.75 × 889,449.75
  4. Step 4: Simplify right side
    562,198.50x = 791,120,857,775.06
  5. Step 5: Solve for x
    x = 791,120,857,775.06/562,198.50
  6. Step 6: Final answer
    x = 1,407,191.34

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.