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Finding the Third Proportional to 299,215.13 and 649,293.75

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Solution

The third proportional to 299,215.13 and 649,293.75 is: 1,408,960.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,215.13 : 649,293.75 = 649,293.75 : x
  2. Step 2: Convert to fraction form
    299,215.13/649,293.75 = 649,293.75/x
  3. Step 3: Cross multiply
    299,215.13x = 649,293.75 × 649,293.75
  4. Step 4: Simplify right side
    299,215.13x = 421,582,373,789.06
  5. Step 5: Solve for x
    x = 421,582,373,789.06/299,215.13
  6. Step 6: Final answer
    x = 1,408,960.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.