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Finding the Third Proportional to 313,944 and 480,132

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Solution

The third proportional to 313,944 and 480,132 is: 734,292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,944 : 480,132 = 480,132 : x
  2. Step 2: Convert to fraction form
    313,944/480,132 = 480,132/x
  3. Step 3: Cross multiply
    313,944x = 480,132 × 480,132
  4. Step 4: Simplify right side
    313,944x = 230,526,737,424
  5. Step 5: Solve for x
    x = 230,526,737,424/313,944
  6. Step 6: Final answer
    x = 734,292.54

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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.