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Finding the Third Proportional to 331,420.50 and 518,456.25

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Solution

The third proportional to 331,420.50 and 518,456.25 is: 811,044.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,420.50 : 518,456.25 = 518,456.25 : x
  2. Step 2: Convert to fraction form
    331,420.50/518,456.25 = 518,456.25/x
  3. Step 3: Cross multiply
    331,420.50x = 518,456.25 × 518,456.25
  4. Step 4: Simplify right side
    331,420.50x = 268,796,883,164.06
  5. Step 5: Solve for x
    x = 268,796,883,164.06/331,420.50
  6. Step 6: Final answer
    x = 811,044.83

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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.