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Finding the Third Proportional to 271,431 and 399,033

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Solution

The third proportional to 271,431 and 399,033 is: 586,621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,431 : 399,033 = 399,033 : x
  2. Step 2: Convert to fraction form
    271,431/399,033 = 399,033/x
  3. Step 3: Cross multiply
    271,431x = 399,033 × 399,033
  4. Step 4: Simplify right side
    271,431x = 159,227,335,089
  5. Step 5: Solve for x
    x = 159,227,335,089/271,431
  6. Step 6: Final answer
    x = 586,621.78

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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.