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Finding the Third Proportional to 207,036 and 443,961

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Solution

The third proportional to 207,036 and 443,961 is: 952,014.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,036 : 443,961 = 443,961 : x
  2. Step 2: Convert to fraction form
    207,036/443,961 = 443,961/x
  3. Step 3: Cross multiply
    207,036x = 443,961 × 443,961
  4. Step 4: Simplify right side
    207,036x = 197,101,369,521
  5. Step 5: Solve for x
    x = 197,101,369,521/207,036
  6. Step 6: Final answer
    x = 952,014.96

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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.