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Finding the Third Proportional to 307,224 and 412,884

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Solution

The third proportional to 307,224 and 412,884 is: 554,882.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,224 : 412,884 = 412,884 : x
  2. Step 2: Convert to fraction form
    307,224/412,884 = 412,884/x
  3. Step 3: Cross multiply
    307,224x = 412,884 × 412,884
  4. Step 4: Simplify right side
    307,224x = 170,473,197,456
  5. Step 5: Solve for x
    x = 170,473,197,456/307,224
  6. Step 6: Final answer
    x = 554,882.42

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.