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Finding the Third Proportional to 271,573 and 410,855

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Solution

The third proportional to 271,573 and 410,855 is: 621,570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,573 : 410,855 = 410,855 : x
  2. Step 2: Convert to fraction form
    271,573/410,855 = 410,855/x
  3. Step 3: Cross multiply
    271,573x = 410,855 × 410,855
  4. Step 4: Simplify right side
    271,573x = 168,801,831,025
  5. Step 5: Solve for x
    x = 168,801,831,025/271,573
  6. Step 6: Final answer
    x = 621,570.74

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Why These Related Problems?

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