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Finding the Third Proportional to 207,927 and 445,375.13

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Solution

The third proportional to 207,927 and 445,375.13 is: 953,983.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,927 : 445,375.13 = 445,375.13 : x
  2. Step 2: Convert to fraction form
    207,927/445,375.13 = 445,375.13/x
  3. Step 3: Cross multiply
    207,927x = 445,375.13 × 445,375.13
  4. Step 4: Simplify right side
    207,927x = 198,359,001,968.77
  5. Step 5: Solve for x
    x = 198,359,001,968.77/207,927
  6. Step 6: Final answer
    x = 953,983.86

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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.