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Finding the Third Proportional to 383,232 and 580,152

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Solution

The third proportional to 383,232 and 580,152 is: 878,257.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,232 : 580,152 = 580,152 : x
  2. Step 2: Convert to fraction form
    383,232/580,152 = 580,152/x
  3. Step 3: Cross multiply
    383,232x = 580,152 × 580,152
  4. Step 4: Simplify right side
    383,232x = 336,576,343,104
  5. Step 5: Solve for x
    x = 336,576,343,104/383,232
  6. Step 6: Final answer
    x = 878,257.41

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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.