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Finding the Third Proportional to 544,932 and 809,622

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Solution

The third proportional to 544,932 and 809,622 is: 1,202,879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,932 : 809,622 = 809,622 : x
  2. Step 2: Convert to fraction form
    544,932/809,622 = 809,622/x
  3. Step 3: Cross multiply
    544,932x = 809,622 × 809,622
  4. Step 4: Simplify right side
    544,932x = 655,487,782,884
  5. Step 5: Solve for x
    x = 655,487,782,884/544,932
  6. Step 6: Final answer
    x = 1,202,879.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.