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Finding the Third Proportional to 205,014.38 and 443,724.75

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Solution

The third proportional to 205,014.38 and 443,724.75 is: 960,379.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,014.38 : 443,724.75 = 443,724.75 : x
  2. Step 2: Convert to fraction form
    205,014.38/443,724.75 = 443,724.75/x
  3. Step 3: Cross multiply
    205,014.38x = 443,724.75 × 443,724.75
  4. Step 4: Simplify right side
    205,014.38x = 196,891,653,762.56
  5. Step 5: Solve for x
    x = 196,891,653,762.56/205,014.38
  6. Step 6: Final answer
    x = 960,379.75

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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.