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Finding the Third Proportional to 299,651.50 and 643,772

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Solution

The third proportional to 299,651.50 and 643,772 is: 1,383,081.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,651.50 : 643,772 = 643,772 : x
  2. Step 2: Convert to fraction form
    299,651.50/643,772 = 643,772/x
  3. Step 3: Cross multiply
    299,651.50x = 643,772 × 643,772
  4. Step 4: Simplify right side
    299,651.50x = 414,442,387,984
  5. Step 5: Solve for x
    x = 414,442,387,984/299,651.50
  6. Step 6: Final answer
    x = 1,383,081.31

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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.