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Finding the Third Proportional to 383,335.69 and 836,291.06

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Solution

The third proportional to 383,335.69 and 836,291.06 is: 1,824,465.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,335.69 : 836,291.06 = 836,291.06 : x
  2. Step 2: Convert to fraction form
    383,335.69/836,291.06 = 836,291.06/x
  3. Step 3: Cross multiply
    383,335.69x = 836,291.06 × 836,291.06
  4. Step 4: Simplify right side
    383,335.69x = 699,382,741,217.38
  5. Step 5: Solve for x
    x = 699,382,741,217.38/383,335.69
  6. Step 6: Final answer
    x = 1,824,465.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.