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Finding the Third Proportional to 271,456 and 375,096

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Solution

The third proportional to 271,456 and 375,096 is: 518,305.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,456 : 375,096 = 375,096 : x
  2. Step 2: Convert to fraction form
    271,456/375,096 = 375,096/x
  3. Step 3: Cross multiply
    271,456x = 375,096 × 375,096
  4. Step 4: Simplify right side
    271,456x = 140,697,009,216
  5. Step 5: Solve for x
    x = 140,697,009,216/271,456
  6. Step 6: Final answer
    x = 518,305.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.