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Finding the Third Proportional to 383,348 and 580,395

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Solution

The third proportional to 383,348 and 580,395 is: 878,727.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,348 : 580,395 = 580,395 : x
  2. Step 2: Convert to fraction form
    383,348/580,395 = 580,395/x
  3. Step 3: Cross multiply
    383,348x = 580,395 × 580,395
  4. Step 4: Simplify right side
    383,348x = 336,858,356,025
  5. Step 5: Solve for x
    x = 336,858,356,025/383,348
  6. Step 6: Final answer
    x = 878,727.31

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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.