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Finding the Third Proportional to 205,038 and 443,772

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Solution

The third proportional to 205,038 and 443,772 is: 960,473.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,038 : 443,772 = 443,772 : x
  2. Step 2: Convert to fraction form
    205,038/443,772 = 443,772/x
  3. Step 3: Cross multiply
    205,038x = 443,772 × 443,772
  4. Step 4: Simplify right side
    205,038x = 196,933,587,984
  5. Step 5: Solve for x
    x = 196,933,587,984/205,038
  6. Step 6: Final answer
    x = 960,473.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.