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Finding the Third Proportional to 408,072 and 573,638

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Solution

The third proportional to 408,072 and 573,638 is: 806,378.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,072 : 573,638 = 573,638 : x
  2. Step 2: Convert to fraction form
    408,072/573,638 = 573,638/x
  3. Step 3: Cross multiply
    408,072x = 573,638 × 573,638
  4. Step 4: Simplify right side
    408,072x = 329,060,555,044
  5. Step 5: Solve for x
    x = 329,060,555,044/408,072
  6. Step 6: Final answer
    x = 806,378.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.