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Finding the Third Proportional to 299,445.75 and 649,428.75

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Solution

The third proportional to 299,445.75 and 649,428.75 is: 1,408,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,445.75 : 649,428.75 = 649,428.75 : x
  2. Step 2: Convert to fraction form
    299,445.75/649,428.75 = 649,428.75/x
  3. Step 3: Cross multiply
    299,445.75x = 649,428.75 × 649,428.75
  4. Step 4: Simplify right side
    299,445.75x = 421,757,701,326.56
  5. Step 5: Solve for x
    x = 421,757,701,326.56/299,445.75
  6. Step 6: Final answer
    x = 1,408,461.14

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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.