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Finding the Third Proportional to 315,157 and 471,619

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Solution

The third proportional to 315,157 and 471,619 is: 705,757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,157 : 471,619 = 471,619 : x
  2. Step 2: Convert to fraction form
    315,157/471,619 = 471,619/x
  3. Step 3: Cross multiply
    315,157x = 471,619 × 471,619
  4. Step 4: Simplify right side
    315,157x = 222,424,481,161
  5. Step 5: Solve for x
    x = 222,424,481,161/315,157
  6. Step 6: Final answer
    x = 705,757.71

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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.