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Finding the Third Proportional to 303,313 and 475,766

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Solution

The third proportional to 303,313 and 475,766 is: 746,269.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,313 : 475,766 = 475,766 : x
  2. Step 2: Convert to fraction form
    303,313/475,766 = 475,766/x
  3. Step 3: Cross multiply
    303,313x = 475,766 × 475,766
  4. Step 4: Simplify right side
    303,313x = 226,353,286,756
  5. Step 5: Solve for x
    x = 226,353,286,756/303,313
  6. Step 6: Final answer
    x = 746,269.65

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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.