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Finding the Third Proportional to 225,633.09 and 491,740.88

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Solution

The third proportional to 225,633.09 and 491,740.88 is: 1,071,691.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,633.09 : 491,740.88 = 491,740.88 : x
  2. Step 2: Convert to fraction form
    225,633.09/491,740.88 = 491,740.88/x
  3. Step 3: Cross multiply
    225,633.09x = 491,740.88 × 491,740.88
  4. Step 4: Simplify right side
    225,633.09x = 241,809,088,145.77
  5. Step 5: Solve for x
    x = 241,809,088,145.77/225,633.09
  6. Step 6: Final answer
    x = 1,071,691.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.