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Finding the Third Proportional to 303,314 and 475,767

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Solution

The third proportional to 303,314 and 475,767 is: 746,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,314 : 475,767 = 475,767 : x
  2. Step 2: Convert to fraction form
    303,314/475,767 = 475,767/x
  3. Step 3: Cross multiply
    303,314x = 475,767 × 475,767
  4. Step 4: Simplify right side
    303,314x = 226,354,238,289
  5. Step 5: Solve for x
    x = 226,354,238,289/303,314
  6. Step 6: Final answer
    x = 746,270.33

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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.