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Finding the Third Proportional to 215,840 and 327,648

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Solution

The third proportional to 215,840 and 327,648 is: 497,374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,840 : 327,648 = 327,648 : x
  2. Step 2: Convert to fraction form
    215,840/327,648 = 327,648/x
  3. Step 3: Cross multiply
    215,840x = 327,648 × 327,648
  4. Step 4: Simplify right side
    215,840x = 107,353,211,904
  5. Step 5: Solve for x
    x = 107,353,211,904/215,840
  6. Step 6: Final answer
    x = 497,374.04

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.