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Finding the Third Proportional to 263,602 and 408,471

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Solution

The third proportional to 263,602 and 408,471 is: 632,956.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,602 : 408,471 = 408,471 : x
  2. Step 2: Convert to fraction form
    263,602/408,471 = 408,471/x
  3. Step 3: Cross multiply
    263,602x = 408,471 × 408,471
  4. Step 4: Simplify right side
    263,602x = 166,848,557,841
  5. Step 5: Solve for x
    x = 166,848,557,841/263,602
  6. Step 6: Final answer
    x = 632,956.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.