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Finding the Third Proportional to 408,174 and 612,672

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Solution

The third proportional to 408,174 and 612,672 is: 919,624.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,174 : 612,672 = 612,672 : x
  2. Step 2: Convert to fraction form
    408,174/612,672 = 612,672/x
  3. Step 3: Cross multiply
    408,174x = 612,672 × 612,672
  4. Step 4: Simplify right side
    408,174x = 375,366,979,584
  5. Step 5: Solve for x
    x = 375,366,979,584/408,174
  6. Step 6: Final answer
    x = 919,624.91

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