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Finding the Third Proportional to 271,554 and 379,829.25

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Solution

The third proportional to 271,554 and 379,829.25 is: 531,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,554 : 379,829.25 = 379,829.25 : x
  2. Step 2: Convert to fraction form
    271,554/379,829.25 = 379,829.25/x
  3. Step 3: Cross multiply
    271,554x = 379,829.25 × 379,829.25
  4. Step 4: Simplify right side
    271,554x = 144,270,259,155.56
  5. Step 5: Solve for x
    x = 144,270,259,155.56/271,554
  6. Step 6: Final answer
    x = 531,276.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.