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Finding the Third Proportional to 221,805.84 and 485,589.94

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Solution

The third proportional to 221,805.84 and 485,589.94 is: 1,063,081.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,805.84 : 485,589.94 = 485,589.94 : x
  2. Step 2: Convert to fraction form
    221,805.84/485,589.94 = 485,589.94/x
  3. Step 3: Cross multiply
    221,805.84x = 485,589.94 × 485,589.94
  4. Step 4: Simplify right side
    221,805.84x = 235,797,587,401.25
  5. Step 5: Solve for x
    x = 235,797,587,401.25/221,805.84
  6. Step 6: Final answer
    x = 1,063,081.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.