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Finding the Third Proportional to 206,904 and 443,337

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Solution

The third proportional to 206,904 and 443,337 is: 949,946.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,904 : 443,337 = 443,337 : x
  2. Step 2: Convert to fraction form
    206,904/443,337 = 443,337/x
  3. Step 3: Cross multiply
    206,904x = 443,337 × 443,337
  4. Step 4: Simplify right side
    206,904x = 196,547,695,569
  5. Step 5: Solve for x
    x = 196,547,695,569/206,904
  6. Step 6: Final answer
    x = 949,946.33

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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.