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Finding the Third Proportional to 271,848 and 399,762

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Solution

The third proportional to 271,848 and 399,762 is: 587,864.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,848 : 399,762 = 399,762 : x
  2. Step 2: Convert to fraction form
    271,848/399,762 = 399,762/x
  3. Step 3: Cross multiply
    271,848x = 399,762 × 399,762
  4. Step 4: Simplify right side
    271,848x = 159,809,656,644
  5. Step 5: Solve for x
    x = 159,809,656,644/271,848
  6. Step 6: Final answer
    x = 587,864.01

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.