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Finding the Third Proportional to 216,576 and 324,864

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Solution

The third proportional to 216,576 and 324,864 is: 487,296

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,576 : 324,864 = 324,864 : x
  2. Step 2: Convert to fraction form
    216,576/324,864 = 324,864/x
  3. Step 3: Cross multiply
    216,576x = 324,864 × 324,864
  4. Step 4: Simplify right side
    216,576x = 105,536,618,496
  5. Step 5: Solve for x
    x = 105,536,618,496/216,576
  6. Step 6: Final answer
    x = 487,296

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.