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Finding the Third Proportional to 394,476 and 640,896

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Solution

The third proportional to 394,476 and 640,896 is: 1,041,248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,476 : 640,896 = 640,896 : x
  2. Step 2: Convert to fraction form
    394,476/640,896 = 640,896/x
  3. Step 3: Cross multiply
    394,476x = 640,896 × 640,896
  4. Step 4: Simplify right side
    394,476x = 410,747,682,816
  5. Step 5: Solve for x
    x = 410,747,682,816/394,476
  6. Step 6: Final answer
    x = 1,041,248.85

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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.