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Finding the Third Proportional to 324,936 and 434,664

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Solution

The third proportional to 324,936 and 434,664 is: 581,446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,936 : 434,664 = 434,664 : x
  2. Step 2: Convert to fraction form
    324,936/434,664 = 434,664/x
  3. Step 3: Cross multiply
    324,936x = 434,664 × 434,664
  4. Step 4: Simplify right side
    324,936x = 188,932,792,896
  5. Step 5: Solve for x
    x = 188,932,792,896/324,936
  6. Step 6: Final answer
    x = 581,446.17

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.