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Finding the Third Proportional to 205,542 and 443,726

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Solution

The third proportional to 205,542 and 443,726 is: 957,919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,542 : 443,726 = 443,726 : x
  2. Step 2: Convert to fraction form
    205,542/443,726 = 443,726/x
  3. Step 3: Cross multiply
    205,542x = 443,726 × 443,726
  4. Step 4: Simplify right side
    205,542x = 196,892,763,076
  5. Step 5: Solve for x
    x = 196,892,763,076/205,542
  6. Step 6: Final answer
    x = 957,919.86

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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.