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Finding the Third Proportional to 331,434 and 518,478

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Solution

The third proportional to 331,434 and 518,478 is: 811,079.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,434 : 518,478 = 518,478 : x
  2. Step 2: Convert to fraction form
    331,434/518,478 = 518,478/x
  3. Step 3: Cross multiply
    331,434x = 518,478 × 518,478
  4. Step 4: Simplify right side
    331,434x = 268,819,436,484
  5. Step 5: Solve for x
    x = 268,819,436,484/331,434
  6. Step 6: Final answer
    x = 811,079.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.