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Finding the Third Proportional to 207,098 and 443,696

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Solution

The third proportional to 207,098 and 443,696 is: 950,594.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,098 : 443,696 = 443,696 : x
  2. Step 2: Convert to fraction form
    207,098/443,696 = 443,696/x
  3. Step 3: Cross multiply
    207,098x = 443,696 × 443,696
  4. Step 4: Simplify right side
    207,098x = 196,866,140,416
  5. Step 5: Solve for x
    x = 196,866,140,416/207,098
  6. Step 6: Final answer
    x = 950,594.12

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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.