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Finding the Third Proportional to 303,408 and 475,896

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Solution

The third proportional to 303,408 and 475,896 is: 746,443.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,408 : 475,896 = 475,896 : x
  2. Step 2: Convert to fraction form
    303,408/475,896 = 475,896/x
  3. Step 3: Cross multiply
    303,408x = 475,896 × 475,896
  4. Step 4: Simplify right side
    303,408x = 226,477,002,816
  5. Step 5: Solve for x
    x = 226,477,002,816/303,408
  6. Step 6: Final answer
    x = 746,443.74

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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.