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Finding the Third Proportional to 285,002 and 609,824

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Solution

The third proportional to 285,002 and 609,824 is: 1,304,851.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,002 : 609,824 = 609,824 : x
  2. Step 2: Convert to fraction form
    285,002/609,824 = 609,824/x
  3. Step 3: Cross multiply
    285,002x = 609,824 × 609,824
  4. Step 4: Simplify right side
    285,002x = 371,885,310,976
  5. Step 5: Solve for x
    x = 371,885,310,976/285,002
  6. Step 6: Final answer
    x = 1,304,851.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.