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Finding the Third Proportional to 299,552 and 636,048

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Solution

The third proportional to 299,552 and 636,048 is: 1,350,540.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,552 : 636,048 = 636,048 : x
  2. Step 2: Convert to fraction form
    299,552/636,048 = 636,048/x
  3. Step 3: Cross multiply
    299,552x = 636,048 × 636,048
  4. Step 4: Simplify right side
    299,552x = 404,557,058,304
  5. Step 5: Solve for x
    x = 404,557,058,304/299,552
  6. Step 6: Final answer
    x = 1,350,540.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.