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Finding the Third Proportional to 293,041 and 445,177.50

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Solution

The third proportional to 293,041 and 445,177.50 is: 676,297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,041 : 445,177.50 = 445,177.50 : x
  2. Step 2: Convert to fraction form
    293,041/445,177.50 = 445,177.50/x
  3. Step 3: Cross multiply
    293,041x = 445,177.50 × 445,177.50
  4. Step 4: Simplify right side
    293,041x = 198,183,006,506.25
  5. Step 5: Solve for x
    x = 198,183,006,506.25/293,041
  6. Step 6: Final answer
    x = 676,297.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.