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Finding the Third Proportional to 383,216 and 580,125

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Solution

The third proportional to 383,216 and 580,125 is: 878,212.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,216 : 580,125 = 580,125 : x
  2. Step 2: Convert to fraction form
    383,216/580,125 = 580,125/x
  3. Step 3: Cross multiply
    383,216x = 580,125 × 580,125
  4. Step 4: Simplify right side
    383,216x = 336,545,015,625
  5. Step 5: Solve for x
    x = 336,545,015,625/383,216
  6. Step 6: Final answer
    x = 878,212.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.