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Finding the Third Proportional to 271,757 and 399,643

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Solution

The third proportional to 271,757 and 399,643 is: 587,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,757 : 399,643 = 399,643 : x
  2. Step 2: Convert to fraction form
    271,757/399,643 = 399,643/x
  3. Step 3: Cross multiply
    271,757x = 399,643 × 399,643
  4. Step 4: Simplify right side
    271,757x = 159,714,527,449
  5. Step 5: Solve for x
    x = 159,714,527,449/271,757
  6. Step 6: Final answer
    x = 587,710.81

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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.