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Finding the Third Proportional to 271,796 and 399,705

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Solution

The third proportional to 271,796 and 399,705 is: 587,808.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,796 : 399,705 = 399,705 : x
  2. Step 2: Convert to fraction form
    271,796/399,705 = 399,705/x
  3. Step 3: Cross multiply
    271,796x = 399,705 × 399,705
  4. Step 4: Simplify right side
    271,796x = 159,764,087,025
  5. Step 5: Solve for x
    x = 159,764,087,025/271,796
  6. Step 6: Final answer
    x = 587,808.82

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Why These Related Problems?

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