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Finding the Third Proportional to 206,929.69 and 443,376.28

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Solution

The third proportional to 206,929.69 and 443,376.28 is: 949,996.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,929.69 : 443,376.28 = 443,376.28 : x
  2. Step 2: Convert to fraction form
    206,929.69/443,376.28 = 443,376.28/x
  3. Step 3: Cross multiply
    206,929.69x = 443,376.28 × 443,376.28
  4. Step 4: Simplify right side
    206,929.69x = 196,582,526,775.08
  5. Step 5: Solve for x
    x = 196,582,526,775.08/206,929.69
  6. Step 6: Final answer
    x = 949,996.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.