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Finding the Third Proportional to 331,411 and 518,443

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Solution

The third proportional to 331,411 and 518,443 is: 811,026.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,411 : 518,443 = 518,443 : x
  2. Step 2: Convert to fraction form
    331,411/518,443 = 518,443/x
  3. Step 3: Cross multiply
    331,411x = 518,443 × 518,443
  4. Step 4: Simplify right side
    331,411x = 268,783,144,249
  5. Step 5: Solve for x
    x = 268,783,144,249/331,411
  6. Step 6: Final answer
    x = 811,026.62

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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.