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Finding the Third Proportional to 263,700 and 408,656

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Solution

The third proportional to 263,700 and 408,656 is: 633,294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,700 : 408,656 = 408,656 : x
  2. Step 2: Convert to fraction form
    263,700/408,656 = 408,656/x
  3. Step 3: Cross multiply
    263,700x = 408,656 × 408,656
  4. Step 4: Simplify right side
    263,700x = 166,999,726,336
  5. Step 5: Solve for x
    x = 166,999,726,336/263,700
  6. Step 6: Final answer
    x = 633,294.37

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