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Finding the Third Proportional to 304,304 and 617,824

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Solution

The third proportional to 304,304 and 617,824 is: 1,254,359.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,304 : 617,824 = 617,824 : x
  2. Step 2: Convert to fraction form
    304,304/617,824 = 617,824/x
  3. Step 3: Cross multiply
    304,304x = 617,824 × 617,824
  4. Step 4: Simplify right side
    304,304x = 381,706,494,976
  5. Step 5: Solve for x
    x = 381,706,494,976/304,304
  6. Step 6: Final answer
    x = 1,254,359.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.