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Finding the Third Proportional to 331,753.50 and 500,379

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Solution

The third proportional to 331,753.50 and 500,379 is: 754,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,753.50 : 500,379 = 500,379 : x
  2. Step 2: Convert to fraction form
    331,753.50/500,379 = 500,379/x
  3. Step 3: Cross multiply
    331,753.50x = 500,379 × 500,379
  4. Step 4: Simplify right side
    331,753.50x = 250,379,143,641
  5. Step 5: Solve for x
    x = 250,379,143,641/331,753.50
  6. Step 6: Final answer
    x = 754,714.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.