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Finding the Third Proportional to 433,224 and 649,836

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Solution

The third proportional to 433,224 and 649,836 is: 974,754

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,224 : 649,836 = 649,836 : x
  2. Step 2: Convert to fraction form
    433,224/649,836 = 649,836/x
  3. Step 3: Cross multiply
    433,224x = 649,836 × 649,836
  4. Step 4: Simplify right side
    433,224x = 422,286,826,896
  5. Step 5: Solve for x
    x = 422,286,826,896/433,224
  6. Step 6: Final answer
    x = 974,754

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.