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Finding the Third Proportional to 271,424 and 399,026

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Solution

The third proportional to 271,424 and 399,026 is: 586,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,424 : 399,026 = 399,026 : x
  2. Step 2: Convert to fraction form
    271,424/399,026 = 399,026/x
  3. Step 3: Cross multiply
    271,424x = 399,026 × 399,026
  4. Step 4: Simplify right side
    271,424x = 159,221,748,676
  5. Step 5: Solve for x
    x = 159,221,748,676/271,424
  6. Step 6: Final answer
    x = 586,616.32

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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.