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Finding the Third Proportional to 536,596 and 726,162

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Solution

The third proportional to 536,596 and 726,162 is: 982,696.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,596 : 726,162 = 726,162 : x
  2. Step 2: Convert to fraction form
    536,596/726,162 = 726,162/x
  3. Step 3: Cross multiply
    536,596x = 726,162 × 726,162
  4. Step 4: Simplify right side
    536,596x = 527,311,250,244
  5. Step 5: Solve for x
    x = 527,311,250,244/536,596
  6. Step 6: Final answer
    x = 982,696.95

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.