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Finding the Third Proportional to 271,571.50 and 410,851.50

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Solution

The third proportional to 271,571.50 and 410,851.50 is: 621,563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,571.50 : 410,851.50 = 410,851.50 : x
  2. Step 2: Convert to fraction form
    271,571.50/410,851.50 = 410,851.50/x
  3. Step 3: Cross multiply
    271,571.50x = 410,851.50 × 410,851.50
  4. Step 4: Simplify right side
    271,571.50x = 168,798,955,052.25
  5. Step 5: Solve for x
    x = 168,798,955,052.25/271,571.50
  6. Step 6: Final answer
    x = 621,563.58

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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.