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Finding the Third Proportional to 299,662 and 643,792

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Solution

The third proportional to 299,662 and 643,792 is: 1,383,118.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,662 : 643,792 = 643,792 : x
  2. Step 2: Convert to fraction form
    299,662/643,792 = 643,792/x
  3. Step 3: Cross multiply
    299,662x = 643,792 × 643,792
  4. Step 4: Simplify right side
    299,662x = 414,468,139,264
  5. Step 5: Solve for x
    x = 414,468,139,264/299,662
  6. Step 6: Final answer
    x = 1,383,118.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.