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Finding the Third Proportional to 313,876 and 480,126

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Solution

The third proportional to 313,876 and 480,126 is: 734,433.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,876 : 480,126 = 480,126 : x
  2. Step 2: Convert to fraction form
    313,876/480,126 = 480,126/x
  3. Step 3: Cross multiply
    313,876x = 480,126 × 480,126
  4. Step 4: Simplify right side
    313,876x = 230,520,975,876
  5. Step 5: Solve for x
    x = 230,520,975,876/313,876
  6. Step 6: Final answer
    x = 734,433.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.