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Finding the Third Proportional to 313,794 and 480,114

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Solution

The third proportional to 313,794 and 480,114 is: 734,588.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,794 : 480,114 = 480,114 : x
  2. Step 2: Convert to fraction form
    313,794/480,114 = 480,114/x
  3. Step 3: Cross multiply
    313,794x = 480,114 × 480,114
  4. Step 4: Simplify right side
    313,794x = 230,509,452,996
  5. Step 5: Solve for x
    x = 230,509,452,996/313,794
  6. Step 6: Final answer
    x = 734,588.47

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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.