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Finding the Third Proportional to 336,162 and 717,252

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Solution

The third proportional to 336,162 and 717,252 is: 1,530,364.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,162 : 717,252 = 717,252 : x
  2. Step 2: Convert to fraction form
    336,162/717,252 = 717,252/x
  3. Step 3: Cross multiply
    336,162x = 717,252 × 717,252
  4. Step 4: Simplify right side
    336,162x = 514,450,431,504
  5. Step 5: Solve for x
    x = 514,450,431,504/336,162
  6. Step 6: Final answer
    x = 1,530,364.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.