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Finding the Third Proportional to 271,570.50 and 410,850

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Solution

The third proportional to 271,570.50 and 410,850 is: 621,561.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,570.50 : 410,850 = 410,850 : x
  2. Step 2: Convert to fraction form
    271,570.50/410,850 = 410,850/x
  3. Step 3: Cross multiply
    271,570.50x = 410,850 × 410,850
  4. Step 4: Simplify right side
    271,570.50x = 168,797,722,500
  5. Step 5: Solve for x
    x = 168,797,722,500/271,570.50
  6. Step 6: Final answer
    x = 621,561.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.