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Finding the Third Proportional to 361,775.25 and 532,183.50

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Solution

The third proportional to 361,775.25 and 532,183.50 is: 782,859.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,775.25 : 532,183.50 = 532,183.50 : x
  2. Step 2: Convert to fraction form
    361,775.25/532,183.50 = 532,183.50/x
  3. Step 3: Cross multiply
    361,775.25x = 532,183.50 × 532,183.50
  4. Step 4: Simplify right side
    361,775.25x = 283,219,277,672.25
  5. Step 5: Solve for x
    x = 283,219,277,672.25/361,775.25
  6. Step 6: Final answer
    x = 782,859.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.