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Finding the Third Proportional to 207,013 and 443,536

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Solution

The third proportional to 207,013 and 443,536 is: 950,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,013 : 443,536 = 443,536 : x
  2. Step 2: Convert to fraction form
    207,013/443,536 = 443,536/x
  3. Step 3: Cross multiply
    207,013x = 443,536 × 443,536
  4. Step 4: Simplify right side
    207,013x = 196,724,183,296
  5. Step 5: Solve for x
    x = 196,724,183,296/207,013
  6. Step 6: Final answer
    x = 950,298.69

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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.