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Finding the Third Proportional to 383,337 and 601,380

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Solution

The third proportional to 383,337 and 601,380 is: 943,446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,337 : 601,380 = 601,380 : x
  2. Step 2: Convert to fraction form
    383,337/601,380 = 601,380/x
  3. Step 3: Cross multiply
    383,337x = 601,380 × 601,380
  4. Step 4: Simplify right side
    383,337x = 361,657,904,400
  5. Step 5: Solve for x
    x = 361,657,904,400/383,337
  6. Step 6: Final answer
    x = 943,446.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.