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Finding the Third Proportional to 536,336 and 795,227

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Solution

The third proportional to 536,336 and 795,227 is: 1,179,085.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,336 : 795,227 = 795,227 : x
  2. Step 2: Convert to fraction form
    536,336/795,227 = 795,227/x
  3. Step 3: Cross multiply
    536,336x = 795,227 × 795,227
  4. Step 4: Simplify right side
    536,336x = 632,385,981,529
  5. Step 5: Solve for x
    x = 632,385,981,529/536,336
  6. Step 6: Final answer
    x = 1,179,085.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.