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Finding the Third Proportional to 207,009.50 and 443,530

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Solution

The third proportional to 207,009.50 and 443,530 is: 950,289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,009.50 : 443,530 = 443,530 : x
  2. Step 2: Convert to fraction form
    207,009.50/443,530 = 443,530/x
  3. Step 3: Cross multiply
    207,009.50x = 443,530 × 443,530
  4. Step 4: Simplify right side
    207,009.50x = 196,718,860,900
  5. Step 5: Solve for x
    x = 196,718,860,900/207,009.50
  6. Step 6: Final answer
    x = 950,289.05

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.