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Finding the Third Proportional to 301,193 and 441,729

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Solution

The third proportional to 301,193 and 441,729 is: 647,838.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,193 : 441,729 = 441,729 : x
  2. Step 2: Convert to fraction form
    301,193/441,729 = 441,729/x
  3. Step 3: Cross multiply
    301,193x = 441,729 × 441,729
  4. Step 4: Simplify right side
    301,193x = 195,124,509,441
  5. Step 5: Solve for x
    x = 195,124,509,441/301,193
  6. Step 6: Final answer
    x = 647,838.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.