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Finding the Third Proportional to 303,327 and 475,790

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Solution

The third proportional to 303,327 and 475,790 is: 746,310.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,327 : 475,790 = 475,790 : x
  2. Step 2: Convert to fraction form
    303,327/475,790 = 475,790/x
  3. Step 3: Cross multiply
    303,327x = 475,790 × 475,790
  4. Step 4: Simplify right side
    303,327x = 226,376,124,100
  5. Step 5: Solve for x
    x = 226,376,124,100/303,327
  6. Step 6: Final answer
    x = 746,310.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.