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Finding the Third Proportional to 264,624 and 396,992

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Solution

The third proportional to 264,624 and 396,992 is: 595,572.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,624 : 396,992 = 396,992 : x
  2. Step 2: Convert to fraction form
    264,624/396,992 = 396,992/x
  3. Step 3: Cross multiply
    264,624x = 396,992 × 396,992
  4. Step 4: Simplify right side
    264,624x = 157,602,648,064
  5. Step 5: Solve for x
    x = 157,602,648,064/264,624
  6. Step 6: Final answer
    x = 595,572.01

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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.