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Finding the Third Proportional to 535,153.50 and 733,846.50

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Solution

The third proportional to 535,153.50 and 733,846.50 is: 1,006,310.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,153.50 : 733,846.50 = 733,846.50 : x
  2. Step 2: Convert to fraction form
    535,153.50/733,846.50 = 733,846.50/x
  3. Step 3: Cross multiply
    535,153.50x = 733,846.50 × 733,846.50
  4. Step 4: Simplify right side
    535,153.50x = 538,530,685,562.25
  5. Step 5: Solve for x
    x = 538,530,685,562.25/535,153.50
  6. Step 6: Final answer
    x = 1,006,310.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.