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Finding the Third Proportional to 362,096 and 547,804

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Solution

The third proportional to 362,096 and 547,804 is: 828,755.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,096 : 547,804 = 547,804 : x
  2. Step 2: Convert to fraction form
    362,096/547,804 = 547,804/x
  3. Step 3: Cross multiply
    362,096x = 547,804 × 547,804
  4. Step 4: Simplify right side
    362,096x = 300,089,222,416
  5. Step 5: Solve for x
    x = 300,089,222,416/362,096
  6. Step 6: Final answer
    x = 828,755.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.