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Finding the Third Proportional to 344,794 and 535,234

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Solution

The third proportional to 344,794 and 535,234 is: 830,859.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,794 : 535,234 = 535,234 : x
  2. Step 2: Convert to fraction form
    344,794/535,234 = 535,234/x
  3. Step 3: Cross multiply
    344,794x = 535,234 × 535,234
  4. Step 4: Simplify right side
    344,794x = 286,475,434,756
  5. Step 5: Solve for x
    x = 286,475,434,756/344,794
  6. Step 6: Final answer
    x = 830,859.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.