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Finding the Third Proportional to 361,278.56 and 508,310.44

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Solution

The third proportional to 361,278.56 and 508,310.44 is: 715,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,278.56 : 508,310.44 = 508,310.44 : x
  2. Step 2: Convert to fraction form
    361,278.56/508,310.44 = 508,310.44/x
  3. Step 3: Cross multiply
    361,278.56x = 508,310.44 × 508,310.44
  4. Step 4: Simplify right side
    361,278.56x = 258,379,500,871.44
  5. Step 5: Solve for x
    x = 258,379,500,871.44/361,278.56
  6. Step 6: Final answer
    x = 715,180.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.