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Finding the Third Proportional to 383,148 and 580,041

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Solution

The third proportional to 383,148 and 580,041 is: 878,113.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,148 : 580,041 = 580,041 : x
  2. Step 2: Convert to fraction form
    383,148/580,041 = 580,041/x
  3. Step 3: Cross multiply
    383,148x = 580,041 × 580,041
  4. Step 4: Simplify right side
    383,148x = 336,447,561,681
  5. Step 5: Solve for x
    x = 336,447,561,681/383,148
  6. Step 6: Final answer
    x = 878,113.84

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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.