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Finding the Third Proportional to 533,491.31 and 800,244.56

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Solution

The third proportional to 533,491.31 and 800,244.56 is: 1,200,378.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,491.31 : 800,244.56 = 800,244.56 : x
  2. Step 2: Convert to fraction form
    533,491.31/800,244.56 = 800,244.56/x
  3. Step 3: Cross multiply
    533,491.31x = 800,244.56 × 800,244.56
  4. Step 4: Simplify right side
    533,491.31x = 640,391,359,810.82
  5. Step 5: Solve for x
    x = 640,391,359,810.82/533,491.31
  6. Step 6: Final answer
    x = 1,200,378.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.