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Finding the Third Proportional to 408,054 and 573,611

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Solution

The third proportional to 408,054 and 573,611 is: 806,338.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,054 : 573,611 = 573,611 : x
  2. Step 2: Convert to fraction form
    408,054/573,611 = 573,611/x
  3. Step 3: Cross multiply
    408,054x = 573,611 × 573,611
  4. Step 4: Simplify right side
    408,054x = 329,029,579,321
  5. Step 5: Solve for x
    x = 329,029,579,321/408,054
  6. Step 6: Final answer
    x = 806,338.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.