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Finding the Third Proportional to 208,792 and 443,504

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Solution

The third proportional to 208,792 and 443,504 is: 942,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,792 : 443,504 = 443,504 : x
  2. Step 2: Convert to fraction form
    208,792/443,504 = 443,504/x
  3. Step 3: Cross multiply
    208,792x = 443,504 × 443,504
  4. Step 4: Simplify right side
    208,792x = 196,695,798,016
  5. Step 5: Solve for x
    x = 196,695,798,016/208,792
  6. Step 6: Final answer
    x = 942,065.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.