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Finding the Third Proportional to 207,114 and 443,722

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Solution

The third proportional to 207,114 and 443,722 is: 950,632.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,114 : 443,722 = 443,722 : x
  2. Step 2: Convert to fraction form
    207,114/443,722 = 443,722/x
  3. Step 3: Cross multiply
    207,114x = 443,722 × 443,722
  4. Step 4: Simplify right side
    207,114x = 196,889,213,284
  5. Step 5: Solve for x
    x = 196,889,213,284/207,114
  6. Step 6: Final answer
    x = 950,632.08

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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.