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Finding the Third Proportional to 241,434 and 354,744

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Solution

The third proportional to 241,434 and 354,744 is: 521,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,434 : 354,744 = 354,744 : x
  2. Step 2: Convert to fraction form
    241,434/354,744 = 354,744/x
  3. Step 3: Cross multiply
    241,434x = 354,744 × 354,744
  4. Step 4: Simplify right side
    241,434x = 125,843,305,536
  5. Step 5: Solve for x
    x = 125,843,305,536/241,434
  6. Step 6: Final answer
    x = 521,232.74

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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.