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Finding the Third Proportional to 215,419 and 460,161

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Solution

The third proportional to 215,419 and 460,161 is: 982,959.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,419 : 460,161 = 460,161 : x
  2. Step 2: Convert to fraction form
    215,419/460,161 = 460,161/x
  3. Step 3: Cross multiply
    215,419x = 460,161 × 460,161
  4. Step 4: Simplify right side
    215,419x = 211,748,145,921
  5. Step 5: Solve for x
    x = 211,748,145,921/215,419
  6. Step 6: Final answer
    x = 982,959.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.