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Finding the Third Proportional to 394,584 and 641,070

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Solution

The third proportional to 394,584 and 641,070 is: 1,041,529.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,584 : 641,070 = 641,070 : x
  2. Step 2: Convert to fraction form
    394,584/641,070 = 641,070/x
  3. Step 3: Cross multiply
    394,584x = 641,070 × 641,070
  4. Step 4: Simplify right side
    394,584x = 410,970,744,900
  5. Step 5: Solve for x
    x = 410,970,744,900/394,584
  6. Step 6: Final answer
    x = 1,041,529.17

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.