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Finding the Third Proportional to 223,992.84 and 487,351.69

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Solution

The third proportional to 223,992.84 and 487,351.69 is: 1,060,353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,992.84 : 487,351.69 = 487,351.69 : x
  2. Step 2: Convert to fraction form
    223,992.84/487,351.69 = 487,351.69/x
  3. Step 3: Cross multiply
    223,992.84x = 487,351.69 × 487,351.69
  4. Step 4: Simplify right side
    223,992.84x = 237,511,667,309.10
  5. Step 5: Solve for x
    x = 237,511,667,309.10/223,992.84
  6. Step 6: Final answer
    x = 1,060,353.82

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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.