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Finding the Third Proportional to 241,405 and 354,711

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Solution

The third proportional to 241,405 and 354,711 is: 521,198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,405 : 354,711 = 354,711 : x
  2. Step 2: Convert to fraction form
    241,405/354,711 = 354,711/x
  3. Step 3: Cross multiply
    241,405x = 354,711 × 354,711
  4. Step 4: Simplify right side
    241,405x = 125,819,893,521
  5. Step 5: Solve for x
    x = 125,819,893,521/241,405
  6. Step 6: Final answer
    x = 521,198.37

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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.