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Finding the Third Proportional to 331,673 and 500,285

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Solution

The third proportional to 331,673 and 500,285 is: 754,613.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,673 : 500,285 = 500,285 : x
  2. Step 2: Convert to fraction form
    331,673/500,285 = 500,285/x
  3. Step 3: Cross multiply
    331,673x = 500,285 × 500,285
  4. Step 4: Simplify right side
    331,673x = 250,285,081,225
  5. Step 5: Solve for x
    x = 250,285,081,225/331,673
  6. Step 6: Final answer
    x = 754,613.98

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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.