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Finding the Third Proportional to 383,717.25 and 536,736.38

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Solution

The third proportional to 383,717.25 and 536,736.38 is: 750,776.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,717.25 : 536,736.38 = 536,736.38 : x
  2. Step 2: Convert to fraction form
    383,717.25/536,736.38 = 536,736.38/x
  3. Step 3: Cross multiply
    383,717.25x = 536,736.38 × 536,736.38
  4. Step 4: Simplify right side
    383,717.25x = 288,085,936,248.14
  5. Step 5: Solve for x
    x = 288,085,936,248.14/383,717.25
  6. Step 6: Final answer
    x = 750,776.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.