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Finding the Third Proportional to 384,229.69 and 834,904.69

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Solution

The third proportional to 384,229.69 and 834,904.69 is: 1,814,190.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,229.69 : 834,904.69 = 834,904.69 : x
  2. Step 2: Convert to fraction form
    384,229.69/834,904.69 = 834,904.69/x
  3. Step 3: Cross multiply
    384,229.69x = 834,904.69 × 834,904.69
  4. Step 4: Simplify right side
    384,229.69x = 697,065,837,209.47
  5. Step 5: Solve for x
    x = 697,065,837,209.47/384,229.69
  6. Step 6: Final answer
    x = 1,814,190.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.