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Finding the Third Proportional to 216,472 and 323,828

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Solution

The third proportional to 216,472 and 323,828 is: 484,425.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,472 : 323,828 = 323,828 : x
  2. Step 2: Convert to fraction form
    216,472/323,828 = 323,828/x
  3. Step 3: Cross multiply
    216,472x = 323,828 × 323,828
  4. Step 4: Simplify right side
    216,472x = 104,864,573,584
  5. Step 5: Solve for x
    x = 104,864,573,584/216,472
  6. Step 6: Final answer
    x = 484,425.58

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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.