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Finding the Third Proportional to 733,171.50 and 1,533,378.94

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Solution

The third proportional to 733,171.50 and 1,533,378.94 is: 3,206,959.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,171.50 : 1,533,378.94 = 1,533,378.94 : x
  2. Step 2: Convert to fraction form
    733,171.50/1,533,378.94 = 1,533,378.94/x
  3. Step 3: Cross multiply
    733,171.50x = 1,533,378.94 × 1,533,378.94
  4. Step 4: Simplify right side
    733,171.50x = 2,351,250,965,968.63
  5. Step 5: Solve for x
    x = 2,351,250,965,968.63/733,171.50
  6. Step 6: Final answer
    x = 3,206,959.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.