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Finding the Third Proportional to 333,162 and 474,823

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Solution

The third proportional to 333,162 and 474,823 is: 676,718.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,162 : 474,823 = 474,823 : x
  2. Step 2: Convert to fraction form
    333,162/474,823 = 474,823/x
  3. Step 3: Cross multiply
    333,162x = 474,823 × 474,823
  4. Step 4: Simplify right side
    333,162x = 225,456,881,329
  5. Step 5: Solve for x
    x = 225,456,881,329/333,162
  6. Step 6: Final answer
    x = 676,718.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.