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Finding the Third Proportional to 270,762 and 396,906

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Solution

The third proportional to 270,762 and 396,906 is: 581,818.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,762 : 396,906 = 396,906 : x
  2. Step 2: Convert to fraction form
    270,762/396,906 = 396,906/x
  3. Step 3: Cross multiply
    270,762x = 396,906 × 396,906
  4. Step 4: Simplify right side
    270,762x = 157,534,372,836
  5. Step 5: Solve for x
    x = 157,534,372,836/270,762
  6. Step 6: Final answer
    x = 581,818.62

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.