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Finding the Third Proportional to 560,451.73 and 892,221.54

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Solution

The third proportional to 560,451.73 and 892,221.54 is: 1,420,388.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,451.73 : 892,221.54 = 892,221.54 : x
  2. Step 2: Convert to fraction form
    560,451.73/892,221.54 = 892,221.54/x
  3. Step 3: Cross multiply
    560,451.73x = 892,221.54 × 892,221.54
  4. Step 4: Simplify right side
    560,451.73x = 796,059,274,767.06
  5. Step 5: Solve for x
    x = 796,059,274,767.06/560,451.73
  6. Step 6: Final answer
    x = 1,420,388.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.