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Finding the Third Proportional to 299,624.24 and 643,717.48

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Solution

The third proportional to 299,624.24 and 643,717.48 is: 1,382,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,624.24 : 643,717.48 = 643,717.48 : x
  2. Step 2: Convert to fraction form
    299,624.24/643,717.48 = 643,717.48/x
  3. Step 3: Cross multiply
    299,624.24x = 643,717.48 × 643,717.48
  4. Step 4: Simplify right side
    299,624.24x = 414,372,199,690.08
  5. Step 5: Solve for x
    x = 414,372,199,690.08/299,624.24
  6. Step 6: Final answer
    x = 1,382,972.88

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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.