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Finding the Third Proportional to 299,401.50 and 649,165.50

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Solution

The third proportional to 299,401.50 and 649,165.50 is: 1,407,527.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,401.50 : 649,165.50 = 649,165.50 : x
  2. Step 2: Convert to fraction form
    299,401.50/649,165.50 = 649,165.50/x
  3. Step 3: Cross multiply
    299,401.50x = 649,165.50 × 649,165.50
  4. Step 4: Simplify right side
    299,401.50x = 421,415,846,390.25
  5. Step 5: Solve for x
    x = 421,415,846,390.25/299,401.50
  6. Step 6: Final answer
    x = 1,407,527.51

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Why These Related Problems?

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