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Finding the Third Proportional to 505,910.81 and 1,094,380.88

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Solution

The third proportional to 505,910.81 and 1,094,380.88 is: 2,367,353.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,910.81 : 1,094,380.88 = 1,094,380.88 : x
  2. Step 2: Convert to fraction form
    505,910.81/1,094,380.88 = 1,094,380.88/x
  3. Step 3: Cross multiply
    505,910.81x = 1,094,380.88 × 1,094,380.88
  4. Step 4: Simplify right side
    505,910.81x = 1,197,669,499,565.77
  5. Step 5: Solve for x
    x = 1,197,669,499,565.77/505,910.81
  6. Step 6: Final answer
    x = 2,367,353.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.