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Finding the Third Proportional to 271,571 and 410,852

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Solution

The third proportional to 271,571 and 410,852 is: 621,566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,571 : 410,852 = 410,852 : x
  2. Step 2: Convert to fraction form
    271,571/410,852 = 410,852/x
  3. Step 3: Cross multiply
    271,571x = 410,852 × 410,852
  4. Step 4: Simplify right side
    271,571x = 168,799,365,904
  5. Step 5: Solve for x
    x = 168,799,365,904/271,571
  6. Step 6: Final answer
    x = 621,566.24

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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.