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Finding the Third Proportional to 394,304 and 617,732

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Solution

The third proportional to 394,304 and 617,732 is: 967,763.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,304 : 617,732 = 617,732 : x
  2. Step 2: Convert to fraction form
    394,304/617,732 = 617,732/x
  3. Step 3: Cross multiply
    394,304x = 617,732 × 617,732
  4. Step 4: Simplify right side
    394,304x = 381,592,823,824
  5. Step 5: Solve for x
    x = 381,592,823,824/394,304
  6. Step 6: Final answer
    x = 967,763.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.