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Finding the Third Proportional to 536,338.50 and 795,227.25

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Solution

The third proportional to 536,338.50 and 795,227.25 is: 1,179,080.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,338.50 : 795,227.25 = 795,227.25 : x
  2. Step 2: Convert to fraction form
    536,338.50/795,227.25 = 795,227.25/x
  3. Step 3: Cross multiply
    536,338.50x = 795,227.25 × 795,227.25
  4. Step 4: Simplify right side
    536,338.50x = 632,386,379,142.56
  5. Step 5: Solve for x
    x = 632,386,379,142.56/536,338.50
  6. Step 6: Final answer
    x = 1,179,080.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.