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Finding the Third Proportional to 215,853 and 326,790

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Solution

The third proportional to 215,853 and 326,790 is: 494,742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,853 : 326,790 = 326,790 : x
  2. Step 2: Convert to fraction form
    215,853/326,790 = 326,790/x
  3. Step 3: Cross multiply
    215,853x = 326,790 × 326,790
  4. Step 4: Simplify right side
    215,853x = 106,791,704,100
  5. Step 5: Solve for x
    x = 106,791,704,100/215,853
  6. Step 6: Final answer
    x = 494,742.74

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