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Finding the Third Proportional to 299,224.13 and 649,311.75

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Solution

The third proportional to 299,224.13 and 649,311.75 is: 1,408,996.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,224.13 : 649,311.75 = 649,311.75 : x
  2. Step 2: Convert to fraction form
    299,224.13/649,311.75 = 649,311.75/x
  3. Step 3: Cross multiply
    299,224.13x = 649,311.75 × 649,311.75
  4. Step 4: Simplify right side
    299,224.13x = 421,605,748,688.06
  5. Step 5: Solve for x
    x = 421,605,748,688.06/299,224.13
  6. Step 6: Final answer
    x = 1,408,996.51

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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.