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Finding the Third Proportional to 336,846 and 535,698

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Solution

The third proportional to 336,846 and 535,698 is: 851,939.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,846 : 535,698 = 535,698 : x
  2. Step 2: Convert to fraction form
    336,846/535,698 = 535,698/x
  3. Step 3: Cross multiply
    336,846x = 535,698 × 535,698
  4. Step 4: Simplify right side
    336,846x = 286,972,347,204
  5. Step 5: Solve for x
    x = 286,972,347,204/336,846
  6. Step 6: Final answer
    x = 851,939.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.